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Simplifying [9(m + 5) + -17] + [2(m + -3) + 2] = 0 Reorder the terms: [9(5 + m) + -17] + [2(m + -3) + 2] = 0 [(5 * 9 + m * 9) + -17] + [2(m + -3) + 2] = 0 [(45 + 9m) + -17] + [2(m + -3) + 2] = 0 Reorder the terms: [45 + -17 + 9m] + [2(m + -3) + 2] = 0 Combine like terms: 45 + -17 = 28 [28 + 9m] + [2(m + -3) + 2] = 0 Remove brackets around [28 + 9m] 28 + 9m + [2(m + -3) + 2] = 0 Reorder the terms: 28 + 9m + [2(-3 + m) + 2] = 0 28 + 9m + [(-3 * 2 + m * 2) + 2] = 0 28 + 9m + [(-6 + 2m) + 2] = 0 Reorder the terms: 28 + 9m + [-6 + 2 + 2m] = 0 Combine like terms: -6 + 2 = -4 28 + 9m + [-4 + 2m] = 0 Remove brackets around [-4 + 2m] 28 + 9m + -4 + 2m = 0 Reorder the terms: 28 + -4 + 9m + 2m = 0 Combine like terms: 28 + -4 = 24 24 + 9m + 2m = 0 Combine like terms: 9m + 2m = 11m 24 + 11m = 0 Solving 24 + 11m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 11m = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 11m = 0 + -24 11m = 0 + -24 Combine like terms: 0 + -24 = -24 11m = -24 Divide each side by '11'. m = -2.181818182 Simplifying m = -2.181818182
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