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Simplifying [8(m + 5) + -19] + [2(m + -2) + 1] = 0 Reorder the terms: [8(5 + m) + -19] + [2(m + -2) + 1] = 0 [(5 * 8 + m * 8) + -19] + [2(m + -2) + 1] = 0 [(40 + 8m) + -19] + [2(m + -2) + 1] = 0 Reorder the terms: [40 + -19 + 8m] + [2(m + -2) + 1] = 0 Combine like terms: 40 + -19 = 21 [21 + 8m] + [2(m + -2) + 1] = 0 Remove brackets around [21 + 8m] 21 + 8m + [2(m + -2) + 1] = 0 Reorder the terms: 21 + 8m + [2(-2 + m) + 1] = 0 21 + 8m + [(-2 * 2 + m * 2) + 1] = 0 21 + 8m + [(-4 + 2m) + 1] = 0 Reorder the terms: 21 + 8m + [-4 + 1 + 2m] = 0 Combine like terms: -4 + 1 = -3 21 + 8m + [-3 + 2m] = 0 Remove brackets around [-3 + 2m] 21 + 8m + -3 + 2m = 0 Reorder the terms: 21 + -3 + 8m + 2m = 0 Combine like terms: 21 + -3 = 18 18 + 8m + 2m = 0 Combine like terms: 8m + 2m = 10m 18 + 10m = 0 Solving 18 + 10m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 10m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 10m = 0 + -18 10m = 0 + -18 Combine like terms: 0 + -18 = -18 10m = -18 Divide each side by '10'. m = -1.8 Simplifying m = -1.8
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