-(9-4a)-(3+3a)-29=-(9-7a)+(-a)+8

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Solution for -(9-4a)-(3+3a)-29=-(9-7a)+(-a)+8 equation:


Simplifying
-1(9 + -4a) + -1(3 + 3a) + -29 = -1(9 + -7a) + (-1a) + 8
(9 * -1 + -4a * -1) + -1(3 + 3a) + -29 = -1(9 + -7a) + (-1a) + 8
(-9 + 4a) + -1(3 + 3a) + -29 = -1(9 + -7a) + (-1a) + 8
-9 + 4a + (3 * -1 + 3a * -1) + -29 = -1(9 + -7a) + (-1a) + 8
-9 + 4a + (-3 + -3a) + -29 = -1(9 + -7a) + (-1a) + 8

Reorder the terms:
-9 + -3 + -29 + 4a + -3a = -1(9 + -7a) + (-1a) + 8

Combine like terms: -9 + -3 = -12
-12 + -29 + 4a + -3a = -1(9 + -7a) + (-1a) + 8

Combine like terms: -12 + -29 = -41
-41 + 4a + -3a = -1(9 + -7a) + (-1a) + 8

Combine like terms: 4a + -3a = 1a
-41 + 1a = -1(9 + -7a) + (-1a) + 8
-41 + 1a = (9 * -1 + -7a * -1) + (-1a) + 8
-41 + 1a = (-9 + 7a) + (-1a) + 8

Reorder the terms:
-41 + 1a = -9 + 8 + 7a + (-1a)

Combine like terms: -9 + 8 = -1
-41 + 1a = -1 + 7a + (-1a)

Combine like terms: 7a + (-1a) = 6a
-41 + 1a = -1 + 6a

Solving
-41 + 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.
-41 + 1a + -6a = -1 + 6a + -6a

Combine like terms: 1a + -6a = -5a
-41 + -5a = -1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-41 + -5a = -1 + 0
-41 + -5a = -1

Add '41' to each side of the equation.
-41 + 41 + -5a = -1 + 41

Combine like terms: -41 + 41 = 0
0 + -5a = -1 + 41
-5a = -1 + 41

Combine like terms: -1 + 41 = 40
-5a = 40

Divide each side by '-5'.
a = -8

Simplifying
a = -8

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