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Simplifying 2(a + 1) + -4(4 + -7a) = 56 Reorder the terms: 2(1 + a) + -4(4 + -7a) = 56 (1 * 2 + a * 2) + -4(4 + -7a) = 56 (2 + 2a) + -4(4 + -7a) = 56 2 + 2a + (4 * -4 + -7a * -4) = 56 2 + 2a + (-16 + 28a) = 56 Reorder the terms: 2 + -16 + 2a + 28a = 56 Combine like terms: 2 + -16 = -14 -14 + 2a + 28a = 56 Combine like terms: 2a + 28a = 30a -14 + 30a = 56 Solving -14 + 30a = 56 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 = 56 + 14 Combine like terms: -14 + 14 = 0 0 + 30a = 56 + 14 30a = 56 + 14 Combine like terms: 56 + 14 = 70 30a = 70 Divide each side by '30'. a = 2.333333333 Simplifying a = 2.333333333
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