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Simplifying [8(m + 4) + -17] + -1[2(m + -4) + 3] = 0 Reorder the terms: [8(4 + m) + -17] + -1[2(m + -4) + 3] = 0 [(4 * 8 + m * 8) + -17] + -1[2(m + -4) + 3] = 0 [(32 + 8m) + -17] + -1[2(m + -4) + 3] = 0 Reorder the terms: [32 + -17 + 8m] + -1[2(m + -4) + 3] = 0 Combine like terms: 32 + -17 = 15 [15 + 8m] + -1[2(m + -4) + 3] = 0 Remove brackets around [15 + 8m] 15 + 8m + -1[2(m + -4) + 3] = 0 Reorder the terms: 15 + 8m + -1[2(-4 + m) + 3] = 0 15 + 8m + -1[(-4 * 2 + m * 2) + 3] = 0 15 + 8m + -1[(-8 + 2m) + 3] = 0 Reorder the terms: 15 + 8m + -1[-8 + 3 + 2m] = 0 Combine like terms: -8 + 3 = -5 15 + 8m + -1[-5 + 2m] = 0 15 + 8m + [-5 * -1 + 2m * -1] = 0 15 + 8m + [5 + -2m] = 0 Reorder the terms: 15 + 5 + 8m + -2m = 0 Combine like terms: 15 + 5 = 20 20 + 8m + -2m = 0 Combine like terms: 8m + -2m = 6m 20 + 6m = 0 Solving 20 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6m = 0 + -20 6m = 0 + -20 Combine like terms: 0 + -20 = -20 6m = -20 Divide each side by '6'. m = -3.333333333 Simplifying m = -3.333333333
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