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Simplifying 5(m + -4) = -2(-4 + -1m) + 3 Reorder the terms: 5(-4 + m) = -2(-4 + -1m) + 3 (-4 * 5 + m * 5) = -2(-4 + -1m) + 3 (-20 + 5m) = -2(-4 + -1m) + 3 -20 + 5m = (-4 * -2 + -1m * -2) + 3 -20 + 5m = (8 + 2m) + 3 Reorder the terms: -20 + 5m = 8 + 3 + 2m Combine like terms: 8 + 3 = 11 -20 + 5m = 11 + 2m Solving -20 + 5m = 11 + 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. -20 + 5m + -2m = 11 + 2m + -2m Combine like terms: 5m + -2m = 3m -20 + 3m = 11 + 2m + -2m Combine like terms: 2m + -2m = 0 -20 + 3m = 11 + 0 -20 + 3m = 11 Add '20' to each side of the equation. -20 + 20 + 3m = 11 + 20 Combine like terms: -20 + 20 = 0 0 + 3m = 11 + 20 3m = 11 + 20 Combine like terms: 11 + 20 = 31 3m = 31 Divide each side by '3'. m = 10.33333333 Simplifying m = 10.33333333
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