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Simplifying 2(a + -4) + 15 = 31 Reorder the terms: 2(-4 + a) + 15 = 31 (-4 * 2 + a * 2) + 15 = 31 (-8 + 2a) + 15 = 31 Reorder the terms: -8 + 15 + 2a = 31 Combine like terms: -8 + 15 = 7 7 + 2a = 31 Solving 7 + 2a = 31 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2a = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 31 + -7 2a = 31 + -7 Combine like terms: 31 + -7 = 24 2a = 24 Divide each side by '2'. a = 12 Simplifying a = 12
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