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Simplifying 6(1 + 3m) = -1(-2m + 5) + -4 (1 * 6 + 3m * 6) = -1(-2m + 5) + -4 (6 + 18m) = -1(-2m + 5) + -4 Reorder the terms: 6 + 18m = -1(5 + -2m) + -4 6 + 18m = (5 * -1 + -2m * -1) + -4 6 + 18m = (-5 + 2m) + -4 Reorder the terms: 6 + 18m = -5 + -4 + 2m Combine like terms: -5 + -4 = -9 6 + 18m = -9 + 2m Solving 6 + 18m = -9 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 6 + 18m + -2m = -9 + 2m + -2m Combine like terms: 18m + -2m = 16m 6 + 16m = -9 + 2m + -2m Combine like terms: 2m + -2m = 0 6 + 16m = -9 + 0 6 + 16m = -9 Add '-6' to each side of the equation. 6 + -6 + 16m = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 16m = -9 + -6 16m = -9 + -6 Combine like terms: -9 + -6 = -15 16m = -15 Divide each side by '16'. m = -0.9375 Simplifying m = -0.9375
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