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Simplifying 7[4 + -2(a + -2)] = 7(2 + -4a) Reorder the terms: 7[4 + -2(-2 + a)] = 7(2 + -4a) 7[4 + (-2 * -2 + a * -2)] = 7(2 + -4a) 7[4 + (4 + -2a)] = 7(2 + -4a) Combine like terms: 4 + 4 = 8 7[8 + -2a] = 7(2 + -4a) [8 * 7 + -2a * 7] = 7(2 + -4a) [56 + -14a] = 7(2 + -4a) 56 + -14a = (2 * 7 + -4a * 7) 56 + -14a = (14 + -28a) Solving 56 + -14a = 14 + -28a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28a' to each side of the equation. 56 + -14a + 28a = 14 + -28a + 28a Combine like terms: -14a + 28a = 14a 56 + 14a = 14 + -28a + 28a Combine like terms: -28a + 28a = 0 56 + 14a = 14 + 0 56 + 14a = 14 Add '-56' to each side of the equation. 56 + -56 + 14a = 14 + -56 Combine like terms: 56 + -56 = 0 0 + 14a = 14 + -56 14a = 14 + -56 Combine like terms: 14 + -56 = -42 14a = -42 Divide each side by '14'. a = -3 Simplifying a = -3
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