-(6-8a)-(23+7a)-7=-(3-7a)+(-a)+2

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Solution for -(6-8a)-(23+7a)-7=-(3-7a)+(-a)+2 equation:


Simplifying
-1(6 + -8a) + -1(23 + 7a) + -7 = -1(3 + -7a) + (-1a) + 2
(6 * -1 + -8a * -1) + -1(23 + 7a) + -7 = -1(3 + -7a) + (-1a) + 2
(-6 + 8a) + -1(23 + 7a) + -7 = -1(3 + -7a) + (-1a) + 2
-6 + 8a + (23 * -1 + 7a * -1) + -7 = -1(3 + -7a) + (-1a) + 2
-6 + 8a + (-23 + -7a) + -7 = -1(3 + -7a) + (-1a) + 2

Reorder the terms:
-6 + -23 + -7 + 8a + -7a = -1(3 + -7a) + (-1a) + 2

Combine like terms: -6 + -23 = -29
-29 + -7 + 8a + -7a = -1(3 + -7a) + (-1a) + 2

Combine like terms: -29 + -7 = -36
-36 + 8a + -7a = -1(3 + -7a) + (-1a) + 2

Combine like terms: 8a + -7a = 1a
-36 + 1a = -1(3 + -7a) + (-1a) + 2
-36 + 1a = (3 * -1 + -7a * -1) + (-1a) + 2
-36 + 1a = (-3 + 7a) + (-1a) + 2

Reorder the terms:
-36 + 1a = -3 + 2 + 7a + (-1a)

Combine like terms: -3 + 2 = -1
-36 + 1a = -1 + 7a + (-1a)

Combine like terms: 7a + (-1a) = 6a
-36 + 1a = -1 + 6a

Solving
-36 + 1a = -1 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-36 + 1a + -6a = -1 + 6a + -6a

Combine like terms: 1a + -6a = -5a
-36 + -5a = -1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-36 + -5a = -1 + 0
-36 + -5a = -1

Add '36' to each side of the equation.
-36 + 36 + -5a = -1 + 36

Combine like terms: -36 + 36 = 0
0 + -5a = -1 + 36
-5a = -1 + 36

Combine like terms: -1 + 36 = 35
-5a = 35

Divide each side by '-5'.
a = -7

Simplifying
a = -7

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