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Simplifying 32 + -2(4 + -5) + -2(5) = 3(a + 7) + -18 Combine like terms: 4 + -5 = -1 32 + -2(-1) + -2(5) = 3(a + 7) + -18 Multiply -2 * -1 32 + 2 + -2(5) = 3(a + 7) + -18 Multiply -2 * 5 32 + 2 + -10 = 3(a + 7) + -18 Combine like terms: 32 + 2 = 34 34 + -10 = 3(a + 7) + -18 Combine like terms: 34 + -10 = 24 24 = 3(a + 7) + -18 Reorder the terms: 24 = 3(7 + a) + -18 24 = (7 * 3 + a * 3) + -18 24 = (21 + 3a) + -18 Reorder the terms: 24 = 21 + -18 + 3a Combine like terms: 21 + -18 = 3 24 = 3 + 3a Solving 24 = 3 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 24 + -3a = 3 + 3a + -3a Combine like terms: 3a + -3a = 0 24 + -3a = 3 + 0 24 + -3a = 3 Add '-24' to each side of the equation. 24 + -24 + -3a = 3 + -24 Combine like terms: 24 + -24 = 0 0 + -3a = 3 + -24 -3a = 3 + -24 Combine like terms: 3 + -24 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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