Answer:
solution
[tex] c = \frac{79}{34} [/tex]
As decimal
[tex]c = 2.32352...[/tex]
Step-by-step explanation:
Greetings !
Given expression
[tex] - 3 - 34(c - 4) = 54[/tex]
Add 3 to both sides of the expression
[tex] - 3 - 34(c - 4) + 3 = 54 + 3[/tex]
simplify
[tex] - 34(c - 4) = 57[/tex]
Divide both sides of the expression by -34
[tex] \frac{ - 34(c - 4)}{ - 34} = \frac{57}{ - 34} [/tex]
simplify
[tex]c - 4 = - \frac{57}{34} [/tex]
Add 4 to both sidez of the expression
[tex]c - 4 + 4 = - \frac{57}{34} + 4[/tex]
simplify
[tex]c - 4 + 4 = c[/tex]
Andconvert element to fraction
[tex] \frac{4.34}{34} - \frac{51}{34} [/tex]
Since, the denominators are equal , combine the fraction
[tex] \frac{a}{c} + or - \frac{b}{c} = \frac{a + or - b}{c \\ } [/tex]
Thus,
[tex] \frac{4.34 - 57}{34} [/tex]
Multiply the numbers
[tex]4.34 = 136 \\ 136 - 57 = 79[/tex]
And finally we get the value
[tex]c = \frac{79}{34} [/tex]
Hope it helps!!!
