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Simplifying 12 = 2(a + -8) + 5a Reorder the terms: 12 = 2(-8 + a) + 5a 12 = (-8 * 2 + a * 2) + 5a 12 = (-16 + 2a) + 5a Combine like terms: 2a + 5a = 7a 12 = -16 + 7a Solving 12 = -16 + 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. 12 + -7a = -16 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + -7a = -16 + 0 12 + -7a = -16 Add '-12' to each side of the equation. 12 + -12 + -7a = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -7a = -16 + -12 -7a = -16 + -12 Combine like terms: -16 + -12 = -28 -7a = -28 Divide each side by '-7'. a = 4 Simplifying a = 4
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