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Simplifying 5(m + -7) = 3m + 41 Reorder the terms: 5(-7 + m) = 3m + 41 (-7 * 5 + m * 5) = 3m + 41 (-35 + 5m) = 3m + 41 Reorder the terms: -35 + 5m = 41 + 3m Solving -35 + 5m = 41 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -35 + 5m + -3m = 41 + 3m + -3m Combine like terms: 5m + -3m = 2m -35 + 2m = 41 + 3m + -3m Combine like terms: 3m + -3m = 0 -35 + 2m = 41 + 0 -35 + 2m = 41 Add '35' to each side of the equation. -35 + 35 + 2m = 41 + 35 Combine like terms: -35 + 35 = 0 0 + 2m = 41 + 35 2m = 41 + 35 Combine like terms: 41 + 35 = 76 2m = 76 Divide each side by '2'. m = 38 Simplifying m = 38
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