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Simplifying 15 = 4(a + 2) + 3a Reorder the terms: 15 = 4(2 + a) + 3a 15 = (2 * 4 + a * 4) + 3a 15 = (8 + 4a) + 3a Combine like terms: 4a + 3a = 7a 15 = 8 + 7a Solving 15 = 8 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 15 + -7a = 8 + 7a + -7a Combine like terms: 7a + -7a = 0 15 + -7a = 8 + 0 15 + -7a = 8 Add '-15' to each side of the equation. 15 + -15 + -7a = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -7a = 8 + -15 -7a = 8 + -15 Combine like terms: 8 + -15 = -7 -7a = -7 Divide each side by '-7'. a = 1 Simplifying a = 1
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