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Simplifying 4(2m + -5) = (2m + 8) Reorder the terms: 4(-5 + 2m) = (2m + 8) (-5 * 4 + 2m * 4) = (2m + 8) (-20 + 8m) = (2m + 8) Reorder the terms: -20 + 8m = (8 + 2m) Remove parenthesis around (8 + 2m) -20 + 8m = 8 + 2m Solving -20 + 8m = 8 + 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 + 8m + -2m = 8 + 2m + -2m Combine like terms: 8m + -2m = 6m -20 + 6m = 8 + 2m + -2m Combine like terms: 2m + -2m = 0 -20 + 6m = 8 + 0 -20 + 6m = 8 Add '20' to each side of the equation. -20 + 20 + 6m = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 6m = 8 + 20 6m = 8 + 20 Combine like terms: 8 + 20 = 28 6m = 28 Divide each side by '6'. m = 4.666666667 Simplifying m = 4.666666667
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