-2a-2-7a=6(6a-2)+11(a+6)

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Solution for -2a-2-7a=6(6a-2)+11(a+6) equation:


Simplifying
-2a + -2 + -7a = 6(6a + -2) + 11(a + 6)

Reorder the terms:
-2 + -2a + -7a = 6(6a + -2) + 11(a + 6)

Combine like terms: -2a + -7a = -9a
-2 + -9a = 6(6a + -2) + 11(a + 6)

Reorder the terms:
-2 + -9a = 6(-2 + 6a) + 11(a + 6)
-2 + -9a = (-2 * 6 + 6a * 6) + 11(a + 6)
-2 + -9a = (-12 + 36a) + 11(a + 6)

Reorder the terms:
-2 + -9a = -12 + 36a + 11(6 + a)
-2 + -9a = -12 + 36a + (6 * 11 + a * 11)
-2 + -9a = -12 + 36a + (66 + 11a)

Reorder the terms:
-2 + -9a = -12 + 66 + 36a + 11a

Combine like terms: -12 + 66 = 54
-2 + -9a = 54 + 36a + 11a

Combine like terms: 36a + 11a = 47a
-2 + -9a = 54 + 47a

Solving
-2 + -9a = 54 + 47a

Solving for variable 'a'.

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

Add '-47a' to each side of the equation.
-2 + -9a + -47a = 54 + 47a + -47a

Combine like terms: -9a + -47a = -56a
-2 + -56a = 54 + 47a + -47a

Combine like terms: 47a + -47a = 0
-2 + -56a = 54 + 0
-2 + -56a = 54

Add '2' to each side of the equation.
-2 + 2 + -56a = 54 + 2

Combine like terms: -2 + 2 = 0
0 + -56a = 54 + 2
-56a = 54 + 2

Combine like terms: 54 + 2 = 56
-56a = 56

Divide each side by '-56'.
a = -1

Simplifying
a = -1

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