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Simplifying 6(a + 12) + -3 = 9a + -15 Reorder the terms: 6(12 + a) + -3 = 9a + -15 (12 * 6 + a * 6) + -3 = 9a + -15 (72 + 6a) + -3 = 9a + -15 Reorder the terms: 72 + -3 + 6a = 9a + -15 Combine like terms: 72 + -3 = 69 69 + 6a = 9a + -15 Reorder the terms: 69 + 6a = -15 + 9a Solving 69 + 6a = -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. 69 + 6a + -9a = -15 + 9a + -9a Combine like terms: 6a + -9a = -3a 69 + -3a = -15 + 9a + -9a Combine like terms: 9a + -9a = 0 69 + -3a = -15 + 0 69 + -3a = -15 Add '-69' to each side of the equation. 69 + -69 + -3a = -15 + -69 Combine like terms: 69 + -69 = 0 0 + -3a = -15 + -69 -3a = -15 + -69 Combine like terms: -15 + -69 = -84 -3a = -84 Divide each side by '-3'. a = 28 Simplifying a = 28
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