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Simplifying [8(m + 4) + -19] + -1[2(m + -4) + 2] = 0 Reorder the terms: [8(4 + m) + -19] + -1[2(m + -4) + 2] = 0 [(4 * 8 + m * 8) + -19] + -1[2(m + -4) + 2] = 0 [(32 + 8m) + -19] + -1[2(m + -4) + 2] = 0 Reorder the terms: [32 + -19 + 8m] + -1[2(m + -4) + 2] = 0 Combine like terms: 32 + -19 = 13 [13 + 8m] + -1[2(m + -4) + 2] = 0 Remove brackets around [13 + 8m] 13 + 8m + -1[2(m + -4) + 2] = 0 Reorder the terms: 13 + 8m + -1[2(-4 + m) + 2] = 0 13 + 8m + -1[(-4 * 2 + m * 2) + 2] = 0 13 + 8m + -1[(-8 + 2m) + 2] = 0 Reorder the terms: 13 + 8m + -1[-8 + 2 + 2m] = 0 Combine like terms: -8 + 2 = -6 13 + 8m + -1[-6 + 2m] = 0 13 + 8m + [-6 * -1 + 2m * -1] = 0 13 + 8m + [6 + -2m] = 0 Reorder the terms: 13 + 6 + 8m + -2m = 0 Combine like terms: 13 + 6 = 19 19 + 8m + -2m = 0 Combine like terms: 8m + -2m = 6m 19 + 6m = 0 Solving 19 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 6m = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 6m = 0 + -19 6m = 0 + -19 Combine like terms: 0 + -19 = -19 6m = -19 Divide each side by '6'. m = -3.166666667 Simplifying m = -3.166666667
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