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Simplifying [8(m + 5) + -18] + [2(m + -2) + 5] = 0 Reorder the terms: [8(5 + m) + -18] + [2(m + -2) + 5] = 0 [(5 * 8 + m * 8) + -18] + [2(m + -2) + 5] = 0 [(40 + 8m) + -18] + [2(m + -2) + 5] = 0 Reorder the terms: [40 + -18 + 8m] + [2(m + -2) + 5] = 0 Combine like terms: 40 + -18 = 22 [22 + 8m] + [2(m + -2) + 5] = 0 Remove brackets around [22 + 8m] 22 + 8m + [2(m + -2) + 5] = 0 Reorder the terms: 22 + 8m + [2(-2 + m) + 5] = 0 22 + 8m + [(-2 * 2 + m * 2) + 5] = 0 22 + 8m + [(-4 + 2m) + 5] = 0 Reorder the terms: 22 + 8m + [-4 + 5 + 2m] = 0 Combine like terms: -4 + 5 = 1 22 + 8m + [1 + 2m] = 0 Remove brackets around [1 + 2m] 22 + 8m + 1 + 2m = 0 Reorder the terms: 22 + 1 + 8m + 2m = 0 Combine like terms: 22 + 1 = 23 23 + 8m + 2m = 0 Combine like terms: 8m + 2m = 10m 23 + 10m = 0 Solving 23 + 10m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 10m = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 10m = 0 + -23 10m = 0 + -23 Combine like terms: 0 + -23 = -23 10m = -23 Divide each side by '10'. m = -2.3 Simplifying m = -2.3
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