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Simplifying [9(m + 4) + -15] + -1[3(m + -3) + 2] = 0 Reorder the terms: [9(4 + m) + -15] + -1[3(m + -3) + 2] = 0 [(4 * 9 + m * 9) + -15] + -1[3(m + -3) + 2] = 0 [(36 + 9m) + -15] + -1[3(m + -3) + 2] = 0 Reorder the terms: [36 + -15 + 9m] + -1[3(m + -3) + 2] = 0 Combine like terms: 36 + -15 = 21 [21 + 9m] + -1[3(m + -3) + 2] = 0 Remove brackets around [21 + 9m] 21 + 9m + -1[3(m + -3) + 2] = 0 Reorder the terms: 21 + 9m + -1[3(-3 + m) + 2] = 0 21 + 9m + -1[(-3 * 3 + m * 3) + 2] = 0 21 + 9m + -1[(-9 + 3m) + 2] = 0 Reorder the terms: 21 + 9m + -1[-9 + 2 + 3m] = 0 Combine like terms: -9 + 2 = -7 21 + 9m + -1[-7 + 3m] = 0 21 + 9m + [-7 * -1 + 3m * -1] = 0 21 + 9m + [7 + -3m] = 0 Reorder the terms: 21 + 7 + 9m + -3m = 0 Combine like terms: 21 + 7 = 28 28 + 9m + -3m = 0 Combine like terms: 9m + -3m = 6m 28 + 6m = 0 Solving 28 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 6m = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 6m = 0 + -28 6m = 0 + -28 Combine like terms: 0 + -28 = -28 6m = -28 Divide each side by '6'. m = -4.666666667 Simplifying m = -4.666666667
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