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Simplifying 2(a + 1) + -4(4 + -7a) = 76 Reorder the terms: 2(1 + a) + -4(4 + -7a) = 76 (1 * 2 + a * 2) + -4(4 + -7a) = 76 (2 + 2a) + -4(4 + -7a) = 76 2 + 2a + (4 * -4 + -7a * -4) = 76 2 + 2a + (-16 + 28a) = 76 Reorder the terms: 2 + -16 + 2a + 28a = 76 Combine like terms: 2 + -16 = -14 -14 + 2a + 28a = 76 Combine like terms: 2a + 28a = 30a -14 + 30a = 76 Solving -14 + 30a = 76 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 30a = 76 + 14 Combine like terms: -14 + 14 = 0 0 + 30a = 76 + 14 30a = 76 + 14 Combine like terms: 76 + 14 = 90 30a = 90 Divide each side by '30'. a = 3 Simplifying a = 3
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