Respuesta :

Answer:

a =7

Step-by-step explanation:

Isolate the variable by diving each side by factors that don't contain the variable.

Answer: Second Option

[tex]a=7[/tex]

Step-by-step explanation:

We have the following equation:

[tex]7(a - 10) = 13 -2(2a + 3)[/tex]

Apply distributive property

[tex]7*a-7*10 = 13 -2*2a -2*3[/tex]

[tex]7a-70 = 13 -4a -6[/tex]

[tex]7a-70 =-4a +7[/tex]

Add 4a on both sides of the equation

[tex]7a+4a-70 =-4a+4a +7[/tex]

[tex]11a-70 =7[/tex]

Add 70 on both sides of the equation

[tex]11a-70+70 =7+70[/tex]

[tex]11a=77[/tex]

Divide by 11 on both sides of the equation

[tex]\frac{11}{11}a=\frac{77}{11}[/tex]

[tex]a=7[/tex]

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