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Simplifying [9(m + 5) + -17] + [2(m + -3) + 1] = 0 Reorder the terms: [9(5 + m) + -17] + [2(m + -3) + 1] = 0 [(5 * 9 + m * 9) + -17] + [2(m + -3) + 1] = 0 [(45 + 9m) + -17] + [2(m + -3) + 1] = 0 Reorder the terms: [45 + -17 + 9m] + [2(m + -3) + 1] = 0 Combine like terms: 45 + -17 = 28 [28 + 9m] + [2(m + -3) + 1] = 0 Remove brackets around [28 + 9m] 28 + 9m + [2(m + -3) + 1] = 0 Reorder the terms: 28 + 9m + [2(-3 + m) + 1] = 0 28 + 9m + [(-3 * 2 + m * 2) + 1] = 0 28 + 9m + [(-6 + 2m) + 1] = 0 Reorder the terms: 28 + 9m + [-6 + 1 + 2m] = 0 Combine like terms: -6 + 1 = -5 28 + 9m + [-5 + 2m] = 0 Remove brackets around [-5 + 2m] 28 + 9m + -5 + 2m = 0 Reorder the terms: 28 + -5 + 9m + 2m = 0 Combine like terms: 28 + -5 = 23 23 + 9m + 2m = 0 Combine like terms: 9m + 2m = 11m 23 + 11m = 0 Solving 23 + 11m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 11m = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 11m = 0 + -23 11m = 0 + -23 Combine like terms: 0 + -23 = -23 11m = -23 Divide each side by '11'. m = -2.090909091 Simplifying m = -2.090909091
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