-(7-9a)-(2+8a)-37=-(4-7a)+(-a)+3

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Solution for -(7-9a)-(2+8a)-37=-(4-7a)+(-a)+3 equation:


Simplifying
-1(7 + -9a) + -1(2 + 8a) + -37 = -1(4 + -7a) + (-1a) + 3
(7 * -1 + -9a * -1) + -1(2 + 8a) + -37 = -1(4 + -7a) + (-1a) + 3
(-7 + 9a) + -1(2 + 8a) + -37 = -1(4 + -7a) + (-1a) + 3
-7 + 9a + (2 * -1 + 8a * -1) + -37 = -1(4 + -7a) + (-1a) + 3
-7 + 9a + (-2 + -8a) + -37 = -1(4 + -7a) + (-1a) + 3

Reorder the terms:
-7 + -2 + -37 + 9a + -8a = -1(4 + -7a) + (-1a) + 3

Combine like terms: -7 + -2 = -9
-9 + -37 + 9a + -8a = -1(4 + -7a) + (-1a) + 3

Combine like terms: -9 + -37 = -46
-46 + 9a + -8a = -1(4 + -7a) + (-1a) + 3

Combine like terms: 9a + -8a = 1a
-46 + 1a = -1(4 + -7a) + (-1a) + 3
-46 + 1a = (4 * -1 + -7a * -1) + (-1a) + 3
-46 + 1a = (-4 + 7a) + (-1a) + 3

Reorder the terms:
-46 + 1a = -4 + 3 + 7a + (-1a)

Combine like terms: -4 + 3 = -1
-46 + 1a = -1 + 7a + (-1a)

Combine like terms: 7a + (-1a) = 6a
-46 + 1a = -1 + 6a

Solving
-46 + 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.
-46 + 1a + -6a = -1 + 6a + -6a

Combine like terms: 1a + -6a = -5a
-46 + -5a = -1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-46 + -5a = -1 + 0
-46 + -5a = -1

Add '46' to each side of the equation.
-46 + 46 + -5a = -1 + 46

Combine like terms: -46 + 46 = 0
0 + -5a = -1 + 46
-5a = -1 + 46

Combine like terms: -1 + 46 = 45
-5a = 45

Divide each side by '-5'.
a = -9

Simplifying
a = -9

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