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Simplifying 4(2a + 7) = 12 + -8a Reorder the terms: 4(7 + 2a) = 12 + -8a (7 * 4 + 2a * 4) = 12 + -8a (28 + 8a) = 12 + -8a Solving 28 + 8a = 12 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 28 + 8a + 8a = 12 + -8a + 8a Combine like terms: 8a + 8a = 16a 28 + 16a = 12 + -8a + 8a Combine like terms: -8a + 8a = 0 28 + 16a = 12 + 0 28 + 16a = 12 Add '-28' to each side of the equation. 28 + -28 + 16a = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 16a = 12 + -28 16a = 12 + -28 Combine like terms: 12 + -28 = -16 16a = -16 Divide each side by '16'. a = -1 Simplifying a = -1
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