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Simplifying 120 = 2a + -1(15 + -7a) 120 = 2a + (15 * -1 + -7a * -1) 120 = 2a + (-15 + 7a) Reorder the terms: 120 = -15 + 2a + 7a Combine like terms: 2a + 7a = 9a 120 = -15 + 9a Solving 120 = -15 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 120 + -9a = -15 + 9a + -9a Combine like terms: 9a + -9a = 0 120 + -9a = -15 + 0 120 + -9a = -15 Add '-120' to each side of the equation. 120 + -120 + -9a = -15 + -120 Combine like terms: 120 + -120 = 0 0 + -9a = -15 + -120 -9a = -15 + -120 Combine like terms: -15 + -120 = -135 -9a = -135 Divide each side by '-9'. a = 15 Simplifying a = 15
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