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Multi-step aquations

1) [tex]a= -1[/tex], 2) [tex]n=-2[/tex]
3) [tex]x=4[/tex], 4) [tex]n=0[/tex]
5) [tex]r=1[/tex], 6) [tex]r=2[/tex]
7) [tex]No\,\,solution[/tex], 8) [tex]p=-12[/tex]
9) [tex]m=2[/tex], 10) [tex]a=-3[/tex]
11) [tex]x=4[/tex] 12) [tex]n=-2[/tex]
Step-by-step explanation:
We need to solve each equation.
1) [tex]6a+5a = -11[/tex]
Solving:
Adding like terms:
[tex]11a = -11[/tex]
Divide both sides by 11
[tex]a= -1[/tex]
2) [tex]-6n-2n=16[/tex]
Solving:
Adding like terms:
[tex]-8n=16[/tex]
Divide by -8
[tex]n=-2[/tex]
3) [tex]4x+6+3=17[/tex]
Solving:
Adding like terms:
[tex]4x+9=17[/tex]
Subtract 9 on both sides:
[tex]4x=17-9[/tex]
[tex]4x=8[/tex]
Divide both sides by 4
[tex]x=4[/tex]
4) [tex]0=-5n-2n[/tex]
Solving:
[tex]0=-7n[/tex]
Divide both side by -7
[tex]n=0[/tex]
5) [tex]6r-1+6r=11[/tex]
Solving:
12r-1=11
Adding 1 on both sides
[tex]12r=12[/tex]
Divide both sides by 12
[tex]r=1[/tex]
6) [tex]r+11+8r=29[/tex]
Solving:
[tex]9r+11=29\\9r=29-11\\9r=18\\r=2[/tex]
7) [tex]-10=-14v+14v[/tex]
Solving
[tex]-10=-14v+14v\\-10\neq 0\\No\,\,solution[/tex]
8) [tex]-10p+9p=12[/tex]
Solving:
[tex]-10p+9p=12\\-p=12\\p=-12[/tex]
9) [tex]42=8m+13m[/tex]
Solving:
[tex]42=8m+13m\\42=21m\\m=42/21\\m=2[/tex]
10) [tex]a-2+3=-2[/tex]
Solving:
[tex]a-2+3=-2\\a+1=-2\\a=-2-1\\a=-3[/tex]
11) [tex]18=3(3x-6)[/tex]
Solving:
[tex]18=3(3x-6)\\18=9x-18\\18+18=9x\\36=9x\\x=36/9\\x=4[/tex]
12) [tex]30=-5(6n+6)[/tex]
Solving:
[tex]30=-5(6n+6)\\30=-30n-30\\30+30=-30n\\60=-30n\\n=60/-30\\n=-2[/tex]
Keywords: Solving Polynomials
Learn more about solving Polynomials at:
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