8-2(a-6)=-4-3(a+5)

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Solution for 8-2(a-6)=-4-3(a+5) equation: 


Simplifying
8 + -2(a + -6) = -4 + -3(a + 5)

Reorder the terms:
8 + -2(-6 + a) = -4 + -3(a + 5)
8 + (-6 * -2 + a * -2) = -4 + -3(a + 5)
8 + (12 + -2a) = -4 + -3(a + 5)

Combine like terms: 8 + 12 = 20
20 + -2a = -4 + -3(a + 5)

Reorder the terms:
20 + -2a = -4 + -3(5 + a)
20 + -2a = -4 + (5 * -3 + a * -3)
20 + -2a = -4 + (-15 + -3a)

Combine like terms: -4 + -15 = -19
20 + -2a = -19 + -3a

Solving
20 + -2a = -19 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
20 + -2a + 3a = -19 + -3a + 3a

Combine like terms: -2a + 3a = 1a
20 + 1a = -19 + -3a + 3a

Combine like terms: -3a + 3a = 0
20 + 1a = -19 + 0
20 + 1a = -19

Add '-20' to each side of the equation.
20 + -20 + 1a = -19 + -20

Combine like terms: 20 + -20 = 0
0 + 1a = -19 + -20
1a = -19 + -20

Combine like terms: -19 + -20 = -39
1a = -39

Divide each side by '1'.
a = -39

Simplifying
a = -39

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