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Simplifying 10(3m + -5) = 4m + 2 Reorder the terms: 10(-5 + 3m) = 4m + 2 (-5 * 10 + 3m * 10) = 4m + 2 (-50 + 30m) = 4m + 2 Reorder the terms: -50 + 30m = 2 + 4m Solving -50 + 30m = 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. -50 + 30m + -4m = 2 + 4m + -4m Combine like terms: 30m + -4m = 26m -50 + 26m = 2 + 4m + -4m Combine like terms: 4m + -4m = 0 -50 + 26m = 2 + 0 -50 + 26m = 2 Add '50' to each side of the equation. -50 + 50 + 26m = 2 + 50 Combine like terms: -50 + 50 = 0 0 + 26m = 2 + 50 26m = 2 + 50 Combine like terms: 2 + 50 = 52 26m = 52 Divide each side by '26'. m = 2 Simplifying m = 2
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