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Simplifying 6(1 + -3m) = 8(-2m + 5) + -4 (1 * 6 + -3m * 6) = 8(-2m + 5) + -4 (6 + -18m) = 8(-2m + 5) + -4 Reorder the terms: 6 + -18m = 8(5 + -2m) + -4 6 + -18m = (5 * 8 + -2m * 8) + -4 6 + -18m = (40 + -16m) + -4 Reorder the terms: 6 + -18m = 40 + -4 + -16m Combine like terms: 40 + -4 = 36 6 + -18m = 36 + -16m Solving 6 + -18m = 36 + -16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '16m' to each side of the equation. 6 + -18m + 16m = 36 + -16m + 16m Combine like terms: -18m + 16m = -2m 6 + -2m = 36 + -16m + 16m Combine like terms: -16m + 16m = 0 6 + -2m = 36 + 0 6 + -2m = 36 Add '-6' to each side of the equation. 6 + -6 + -2m = 36 + -6 Combine like terms: 6 + -6 = 0 0 + -2m = 36 + -6 -2m = 36 + -6 Combine like terms: 36 + -6 = 30 -2m = 30 Divide each side by '-2'. m = -15 Simplifying m = -15
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