2(a-1)+17=-6(a+6)+3

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Solution for 2(a-1)+17=-6(a+6)+3 equation:


Simplifying
2(a + -1) + 17 = -6(a + 6) + 3

Reorder the terms:
2(-1 + a) + 17 = -6(a + 6) + 3
(-1 * 2 + a * 2) + 17 = -6(a + 6) + 3
(-2 + 2a) + 17 = -6(a + 6) + 3

Reorder the terms:
-2 + 17 + 2a = -6(a + 6) + 3

Combine like terms: -2 + 17 = 15
15 + 2a = -6(a + 6) + 3

Reorder the terms:
15 + 2a = -6(6 + a) + 3
15 + 2a = (6 * -6 + a * -6) + 3
15 + 2a = (-36 + -6a) + 3

Reorder the terms:
15 + 2a = -36 + 3 + -6a

Combine like terms: -36 + 3 = -33
15 + 2a = -33 + -6a

Solving
15 + 2a = -33 + -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.
15 + 2a + 6a = -33 + -6a + 6a

Combine like terms: 2a + 6a = 8a
15 + 8a = -33 + -6a + 6a

Combine like terms: -6a + 6a = 0
15 + 8a = -33 + 0
15 + 8a = -33

Add '-15' to each side of the equation.
15 + -15 + 8a = -33 + -15

Combine like terms: 15 + -15 = 0
0 + 8a = -33 + -15
8a = -33 + -15

Combine like terms: -33 + -15 = -48
8a = -48

Divide each side by '8'.
a = -6

Simplifying
a = -6

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