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Simplifying 3(2m + -1) = -2m + 21 Reorder the terms: 3(-1 + 2m) = -2m + 21 (-1 * 3 + 2m * 3) = -2m + 21 (-3 + 6m) = -2m + 21 Reorder the terms: -3 + 6m = 21 + -2m Solving -3 + 6m = 21 + -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. -3 + 6m + 2m = 21 + -2m + 2m Combine like terms: 6m + 2m = 8m -3 + 8m = 21 + -2m + 2m Combine like terms: -2m + 2m = 0 -3 + 8m = 21 + 0 -3 + 8m = 21 Add '3' to each side of the equation. -3 + 3 + 8m = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 8m = 21 + 3 8m = 21 + 3 Combine like terms: 21 + 3 = 24 8m = 24 Divide each side by '8'. m = 3 Simplifying m = 3
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