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Simplifying 2(3m + -5) = -2m + 14 Reorder the terms: 2(-5 + 3m) = -2m + 14 (-5 * 2 + 3m * 2) = -2m + 14 (-10 + 6m) = -2m + 14 Reorder the terms: -10 + 6m = 14 + -2m Solving -10 + 6m = 14 + -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. -10 + 6m + 2m = 14 + -2m + 2m Combine like terms: 6m + 2m = 8m -10 + 8m = 14 + -2m + 2m Combine like terms: -2m + 2m = 0 -10 + 8m = 14 + 0 -10 + 8m = 14 Add '10' to each side of the equation. -10 + 10 + 8m = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 8m = 14 + 10 8m = 14 + 10 Combine like terms: 14 + 10 = 24 8m = 24 Divide each side by '8'. m = 3 Simplifying m = 3
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