-(7-5a)-(10+4a)-12=-(6-6a)+(-a)+5

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Solution for -(7-5a)-(10+4a)-12=-(6-6a)+(-a)+5 equation:


Simplifying
-1(7 + -5a) + -1(10 + 4a) + -12 = -1(6 + -6a) + (-1a) + 5
(7 * -1 + -5a * -1) + -1(10 + 4a) + -12 = -1(6 + -6a) + (-1a) + 5
(-7 + 5a) + -1(10 + 4a) + -12 = -1(6 + -6a) + (-1a) + 5
-7 + 5a + (10 * -1 + 4a * -1) + -12 = -1(6 + -6a) + (-1a) + 5
-7 + 5a + (-10 + -4a) + -12 = -1(6 + -6a) + (-1a) + 5

Reorder the terms:
-7 + -10 + -12 + 5a + -4a = -1(6 + -6a) + (-1a) + 5

Combine like terms: -7 + -10 = -17
-17 + -12 + 5a + -4a = -1(6 + -6a) + (-1a) + 5

Combine like terms: -17 + -12 = -29
-29 + 5a + -4a = -1(6 + -6a) + (-1a) + 5

Combine like terms: 5a + -4a = 1a
-29 + 1a = -1(6 + -6a) + (-1a) + 5
-29 + 1a = (6 * -1 + -6a * -1) + (-1a) + 5
-29 + 1a = (-6 + 6a) + (-1a) + 5

Reorder the terms:
-29 + 1a = -6 + 5 + 6a + (-1a)

Combine like terms: -6 + 5 = -1
-29 + 1a = -1 + 6a + (-1a)

Combine like terms: 6a + (-1a) = 5a
-29 + 1a = -1 + 5a

Solving
-29 + 1a = -1 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-29 + 1a + -5a = -1 + 5a + -5a

Combine like terms: 1a + -5a = -4a
-29 + -4a = -1 + 5a + -5a

Combine like terms: 5a + -5a = 0
-29 + -4a = -1 + 0
-29 + -4a = -1

Add '29' to each side of the equation.
-29 + 29 + -4a = -1 + 29

Combine like terms: -29 + 29 = 0
0 + -4a = -1 + 29
-4a = -1 + 29

Combine like terms: -1 + 29 = 28
-4a = 28

Divide each side by '-4'.
a = -7

Simplifying
a = -7

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