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Simplifying 10(9a + 12) = 2a + -6(-6 + -10a) Reorder the terms: 10(12 + 9a) = 2a + -6(-6 + -10a) (12 * 10 + 9a * 10) = 2a + -6(-6 + -10a) (120 + 90a) = 2a + -6(-6 + -10a) 120 + 90a = 2a + (-6 * -6 + -10a * -6) 120 + 90a = 2a + (36 + 60a) Reorder the terms: 120 + 90a = 36 + 2a + 60a Combine like terms: 2a + 60a = 62a 120 + 90a = 36 + 62a Solving 120 + 90a = 36 + 62a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-62a' to each side of the equation. 120 + 90a + -62a = 36 + 62a + -62a Combine like terms: 90a + -62a = 28a 120 + 28a = 36 + 62a + -62a Combine like terms: 62a + -62a = 0 120 + 28a = 36 + 0 120 + 28a = 36 Add '-120' to each side of the equation. 120 + -120 + 28a = 36 + -120 Combine like terms: 120 + -120 = 0 0 + 28a = 36 + -120 28a = 36 + -120 Combine like terms: 36 + -120 = -84 28a = -84 Divide each side by '28'. a = -3 Simplifying a = -3
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