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Simplifying 3(2m + -5) = 4m + 7 Reorder the terms: 3(-5 + 2m) = 4m + 7 (-5 * 3 + 2m * 3) = 4m + 7 (-15 + 6m) = 4m + 7 Reorder the terms: -15 + 6m = 7 + 4m Solving -15 + 6m = 7 + 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. -15 + 6m + -4m = 7 + 4m + -4m Combine like terms: 6m + -4m = 2m -15 + 2m = 7 + 4m + -4m Combine like terms: 4m + -4m = 0 -15 + 2m = 7 + 0 -15 + 2m = 7 Add '15' to each side of the equation. -15 + 15 + 2m = 7 + 15 Combine like terms: -15 + 15 = 0 0 + 2m = 7 + 15 2m = 7 + 15 Combine like terms: 7 + 15 = 22 2m = 22 Divide each side by '2'. m = 11 Simplifying m = 11
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