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Simplifying [9(m + 5) + -15] + [3(m + -2) + 1] = 0 Reorder the terms: [9(5 + m) + -15] + [3(m + -2) + 1] = 0 [(5 * 9 + m * 9) + -15] + [3(m + -2) + 1] = 0 [(45 + 9m) + -15] + [3(m + -2) + 1] = 0 Reorder the terms: [45 + -15 + 9m] + [3(m + -2) + 1] = 0 Combine like terms: 45 + -15 = 30 [30 + 9m] + [3(m + -2) + 1] = 0 Remove brackets around [30 + 9m] 30 + 9m + [3(m + -2) + 1] = 0 Reorder the terms: 30 + 9m + [3(-2 + m) + 1] = 0 30 + 9m + [(-2 * 3 + m * 3) + 1] = 0 30 + 9m + [(-6 + 3m) + 1] = 0 Reorder the terms: 30 + 9m + [-6 + 1 + 3m] = 0 Combine like terms: -6 + 1 = -5 30 + 9m + [-5 + 3m] = 0 Remove brackets around [-5 + 3m] 30 + 9m + -5 + 3m = 0 Reorder the terms: 30 + -5 + 9m + 3m = 0 Combine like terms: 30 + -5 = 25 25 + 9m + 3m = 0 Combine like terms: 9m + 3m = 12m 25 + 12m = 0 Solving 25 + 12m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 12m = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 12m = 0 + -25 12m = 0 + -25 Combine like terms: 0 + -25 = -25 12m = -25 Divide each side by '12'. m = -2.083333333 Simplifying m = -2.083333333
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