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Simplifying 5(4 + 8a) + 7(4a + -4) = -76 (4 * 5 + 8a * 5) + 7(4a + -4) = -76 (20 + 40a) + 7(4a + -4) = -76 Reorder the terms: 20 + 40a + 7(-4 + 4a) = -76 20 + 40a + (-4 * 7 + 4a * 7) = -76 20 + 40a + (-28 + 28a) = -76 Reorder the terms: 20 + -28 + 40a + 28a = -76 Combine like terms: 20 + -28 = -8 -8 + 40a + 28a = -76 Combine like terms: 40a + 28a = 68a -8 + 68a = -76 Solving -8 + 68a = -76 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 68a = -76 + 8 Combine like terms: -8 + 8 = 0 0 + 68a = -76 + 8 68a = -76 + 8 Combine like terms: -76 + 8 = -68 68a = -68 Divide each side by '68'. a = -1 Simplifying a = -1
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