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Simplifying 15 = 3a + 3(2a + -4) Reorder the terms: 15 = 3a + 3(-4 + 2a) 15 = 3a + (-4 * 3 + 2a * 3) 15 = 3a + (-12 + 6a) Reorder the terms: 15 = -12 + 3a + 6a Combine like terms: 3a + 6a = 9a 15 = -12 + 9a Solving 15 = -12 + 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. 15 + -9a = -12 + 9a + -9a Combine like terms: 9a + -9a = 0 15 + -9a = -12 + 0 15 + -9a = -12 Add '-15' to each side of the equation. 15 + -15 + -9a = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -9a = -12 + -15 -9a = -12 + -15 Combine like terms: -12 + -15 = -27 -9a = -27 Divide each side by '-9'. a = 3 Simplifying a = 3
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