-3(3+8a)-4(a-6)=71

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Solution for -3(3+8a)-4(a-6)=71 equation: 


Simplifying
-3(3 + 8a) + -4(a + -6) = 71
(3 * -3 + 8a * -3) + -4(a + -6) = 71
(-9 + -24a) + -4(a + -6) = 71

Reorder the terms:
-9 + -24a + -4(-6 + a) = 71
-9 + -24a + (-6 * -4 + a * -4) = 71
-9 + -24a + (24 + -4a) = 71

Reorder the terms:
-9 + 24 + -24a + -4a = 71

Combine like terms: -9 + 24 = 15
15 + -24a + -4a = 71

Combine like terms: -24a + -4a = -28a
15 + -28a = 71

Solving
15 + -28a = 71

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + -28a = 71 + -15

Combine like terms: 15 + -15 = 0
0 + -28a = 71 + -15
-28a = 71 + -15

Combine like terms: 71 + -15 = 56
-28a = 56

Divide each side by '-28'.
a = -2

Simplifying
a = -2

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