2(1-4a)-7(1-3a)=-5

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Solution for 2(1-4a)-7(1-3a)=-5 equation: 


Simplifying
2(1 + -4a) + -7(1 + -3a) = -5
(1 * 2 + -4a * 2) + -7(1 + -3a) = -5
(2 + -8a) + -7(1 + -3a) = -5
2 + -8a + (1 * -7 + -3a * -7) = -5
2 + -8a + (-7 + 21a) = -5

Reorder the terms:
2 + -7 + -8a + 21a = -5

Combine like terms: 2 + -7 = -5
-5 + -8a + 21a = -5

Combine like terms: -8a + 21a = 13a
-5 + 13a = -5

Add '5' to each side of the equation.
-5 + 5 + 13a = -5 + 5

Combine like terms: -5 + 5 = 0
0 + 13a = -5 + 5
13a = -5 + 5

Combine like terms: -5 + 5 = 0
13a = 0

Solving
13a = 0

Solving for variable 'a'.

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

Divide each side by '13'.
a = 0

Simplifying
a = 0

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