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Simplifying [7(m + 5) + -18] + [2(m + -2) + 2] = 0 Reorder the terms: [7(5 + m) + -18] + [2(m + -2) + 2] = 0 [(5 * 7 + m * 7) + -18] + [2(m + -2) + 2] = 0 [(35 + 7m) + -18] + [2(m + -2) + 2] = 0 Reorder the terms: [35 + -18 + 7m] + [2(m + -2) + 2] = 0 Combine like terms: 35 + -18 = 17 [17 + 7m] + [2(m + -2) + 2] = 0 Remove brackets around [17 + 7m] 17 + 7m + [2(m + -2) + 2] = 0 Reorder the terms: 17 + 7m + [2(-2 + m) + 2] = 0 17 + 7m + [(-2 * 2 + m * 2) + 2] = 0 17 + 7m + [(-4 + 2m) + 2] = 0 Reorder the terms: 17 + 7m + [-4 + 2 + 2m] = 0 Combine like terms: -4 + 2 = -2 17 + 7m + [-2 + 2m] = 0 Remove brackets around [-2 + 2m] 17 + 7m + -2 + 2m = 0 Reorder the terms: 17 + -2 + 7m + 2m = 0 Combine like terms: 17 + -2 = 15 15 + 7m + 2m = 0 Combine like terms: 7m + 2m = 9m 15 + 9m = 0 Solving 15 + 9m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 9m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 9m = 0 + -15 9m = 0 + -15 Combine like terms: 0 + -15 = -15 9m = -15 Divide each side by '9'. m = -1.666666667 Simplifying m = -1.666666667
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