-5(-8a-6)-(-4a+12)-6(2a-9)=

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Solution for -5(-8a-6)-(-4a+12)-6(2a-9)= equation:


Simplifying
-5(-8a + -6) + -1(-4a + 12) + -6(2a + -9) = 0

Reorder the terms:
-5(-6 + -8a) + -1(-4a + 12) + -6(2a + -9) = 0
(-6 * -5 + -8a * -5) + -1(-4a + 12) + -6(2a + -9) = 0
(30 + 40a) + -1(-4a + 12) + -6(2a + -9) = 0

Reorder the terms:
30 + 40a + -1(12 + -4a) + -6(2a + -9) = 0
30 + 40a + (12 * -1 + -4a * -1) + -6(2a + -9) = 0
30 + 40a + (-12 + 4a) + -6(2a + -9) = 0

Reorder the terms:
30 + 40a + -12 + 4a + -6(-9 + 2a) = 0
30 + 40a + -12 + 4a + (-9 * -6 + 2a * -6) = 0
30 + 40a + -12 + 4a + (54 + -12a) = 0

Reorder the terms:
30 + -12 + 54 + 40a + 4a + -12a = 0

Combine like terms: 30 + -12 = 18
18 + 54 + 40a + 4a + -12a = 0

Combine like terms: 18 + 54 = 72
72 + 40a + 4a + -12a = 0

Combine like terms: 40a + 4a = 44a
72 + 44a + -12a = 0

Combine like terms: 44a + -12a = 32a
72 + 32a = 0

Solving
72 + 32a = 0

Solving for variable 'a'.

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

Add '-72' to each side of the equation.
72 + -72 + 32a = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 32a = 0 + -72
32a = 0 + -72

Combine like terms: 0 + -72 = -72
32a = -72

Divide each side by '32'.
a = -2.25

Simplifying
a = -2.25

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