-7a-8(1-4a)=-a-34

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Solution for -7a-8(1-4a)=-a-34 equation: 


Simplifying
-7a + -8(1 + -4a) = -1a + -34
-7a + (1 * -8 + -4a * -8) = -1a + -34
-7a + (-8 + 32a) = -1a + -34

Reorder the terms:
-8 + -7a + 32a = -1a + -34

Combine like terms: -7a + 32a = 25a
-8 + 25a = -1a + -34

Reorder the terms:
-8 + 25a = -34 + -1a

Solving
-8 + 25a = -34 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-8 + 25a + a = -34 + -1a + a

Combine like terms: 25a + a = 26a
-8 + 26a = -34 + -1a + a

Combine like terms: -1a + a = 0
-8 + 26a = -34 + 0
-8 + 26a = -34

Add '8' to each side of the equation.
-8 + 8 + 26a = -34 + 8

Combine like terms: -8 + 8 = 0
0 + 26a = -34 + 8
26a = -34 + 8

Combine like terms: -34 + 8 = -26
26a = -26

Divide each side by '26'.
a = -1

Simplifying
a = -1

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