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Simplifying 2(4m + -5) = 4m + -2 Reorder the terms: 2(-5 + 4m) = 4m + -2 (-5 * 2 + 4m * 2) = 4m + -2 (-10 + 8m) = 4m + -2 Reorder the terms: -10 + 8m = -2 + 4m Solving -10 + 8m = -2 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -10 + 8m + -4m = -2 + 4m + -4m Combine like terms: 8m + -4m = 4m -10 + 4m = -2 + 4m + -4m Combine like terms: 4m + -4m = 0 -10 + 4m = -2 + 0 -10 + 4m = -2 Add '10' to each side of the equation. -10 + 10 + 4m = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 4m = -2 + 10 4m = -2 + 10 Combine like terms: -2 + 10 = 8 4m = 8 Divide each side by '4'. m = 2 Simplifying m = 2
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