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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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