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Simplifying 6(a + 2) + -3 = 3a + -15 Reorder the terms: 6(2 + a) + -3 = 3a + -15 (2 * 6 + a * 6) + -3 = 3a + -15 (12 + 6a) + -3 = 3a + -15 Reorder the terms: 12 + -3 + 6a = 3a + -15 Combine like terms: 12 + -3 = 9 9 + 6a = 3a + -15 Reorder the terms: 9 + 6a = -15 + 3a Solving 9 + 6a = -15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 9 + 6a + -3a = -15 + 3a + -3a Combine like terms: 6a + -3a = 3a 9 + 3a = -15 + 3a + -3a Combine like terms: 3a + -3a = 0 9 + 3a = -15 + 0 9 + 3a = -15 Add '-9' to each side of the equation. 9 + -9 + 3a = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 3a = -15 + -9 3a = -15 + -9 Combine like terms: -15 + -9 = -24 3a = -24 Divide each side by '3'. a = -8 Simplifying a = -8
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