2(a-6)-3(a+5)=14+129

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Solution for 2(a-6)-3(a+5)=14+129 equation:


Simplifying
2(a + -6) + -3(a + 5) = 14 + 129

Reorder the terms:
2(-6 + a) + -3(a + 5) = 14 + 129
(-6 * 2 + a * 2) + -3(a + 5) = 14 + 129
(-12 + 2a) + -3(a + 5) = 14 + 129

Reorder the terms:
-12 + 2a + -3(5 + a) = 14 + 129
-12 + 2a + (5 * -3 + a * -3) = 14 + 129
-12 + 2a + (-15 + -3a) = 14 + 129

Reorder the terms:
-12 + -15 + 2a + -3a = 14 + 129

Combine like terms: -12 + -15 = -27
-27 + 2a + -3a = 14 + 129

Combine like terms: 2a + -3a = -1a
-27 + -1a = 14 + 129

Combine like terms: 14 + 129 = 143
-27 + -1a = 143

Solving
-27 + -1a = 143

Solving for variable 'a'.

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

Add '27' to each side of the equation.
-27 + 27 + -1a = 143 + 27

Combine like terms: -27 + 27 = 0
0 + -1a = 143 + 27
-1a = 143 + 27

Combine like terms: 143 + 27 = 170
-1a = 170

Divide each side by '-1'.
a = -170

Simplifying
a = -170

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