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Simplifying 4(2m + -5) = 3(2m + 8) Reorder the terms: 4(-5 + 2m) = 3(2m + 8) (-5 * 4 + 2m * 4) = 3(2m + 8) (-20 + 8m) = 3(2m + 8) Reorder the terms: -20 + 8m = 3(8 + 2m) -20 + 8m = (8 * 3 + 2m * 3) -20 + 8m = (24 + 6m) Solving -20 + 8m = 24 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -20 + 8m + -6m = 24 + 6m + -6m Combine like terms: 8m + -6m = 2m -20 + 2m = 24 + 6m + -6m Combine like terms: 6m + -6m = 0 -20 + 2m = 24 + 0 -20 + 2m = 24 Add '20' to each side of the equation. -20 + 20 + 2m = 24 + 20 Combine like terms: -20 + 20 = 0 0 + 2m = 24 + 20 2m = 24 + 20 Combine like terms: 24 + 20 = 44 2m = 44 Divide each side by '2'. m = 22 Simplifying m = 22
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