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Simplifying [7(m + 5) + -15] + [3(m + -2) + 2] = 0 Reorder the terms: [7(5 + m) + -15] + [3(m + -2) + 2] = 0 [(5 * 7 + m * 7) + -15] + [3(m + -2) + 2] = 0 [(35 + 7m) + -15] + [3(m + -2) + 2] = 0 Reorder the terms: [35 + -15 + 7m] + [3(m + -2) + 2] = 0 Combine like terms: 35 + -15 = 20 [20 + 7m] + [3(m + -2) + 2] = 0 Remove brackets around [20 + 7m] 20 + 7m + [3(m + -2) + 2] = 0 Reorder the terms: 20 + 7m + [3(-2 + m) + 2] = 0 20 + 7m + [(-2 * 3 + m * 3) + 2] = 0 20 + 7m + [(-6 + 3m) + 2] = 0 Reorder the terms: 20 + 7m + [-6 + 2 + 3m] = 0 Combine like terms: -6 + 2 = -4 20 + 7m + [-4 + 3m] = 0 Remove brackets around [-4 + 3m] 20 + 7m + -4 + 3m = 0 Reorder the terms: 20 + -4 + 7m + 3m = 0 Combine like terms: 20 + -4 = 16 16 + 7m + 3m = 0 Combine like terms: 7m + 3m = 10m 16 + 10m = 0 Solving 16 + 10m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 10m = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 10m = 0 + -16 10m = 0 + -16 Combine like terms: 0 + -16 = -16 10m = -16 Divide each side by '10'. m = -1.6 Simplifying m = -1.6
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