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Simplifying 7(m + -5) = 15(5 + -1m) + 2m Reorder the terms: 7(-5 + m) = 15(5 + -1m) + 2m (-5 * 7 + m * 7) = 15(5 + -1m) + 2m (-35 + 7m) = 15(5 + -1m) + 2m -35 + 7m = (5 * 15 + -1m * 15) + 2m -35 + 7m = (75 + -15m) + 2m Combine like terms: -15m + 2m = -13m -35 + 7m = 75 + -13m Solving -35 + 7m = 75 + -13m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13m' to each side of the equation. -35 + 7m + 13m = 75 + -13m + 13m Combine like terms: 7m + 13m = 20m -35 + 20m = 75 + -13m + 13m Combine like terms: -13m + 13m = 0 -35 + 20m = 75 + 0 -35 + 20m = 75 Add '35' to each side of the equation. -35 + 35 + 20m = 75 + 35 Combine like terms: -35 + 35 = 0 0 + 20m = 75 + 35 20m = 75 + 35 Combine like terms: 75 + 35 = 110 20m = 110 Divide each side by '20'. m = 5.5 Simplifying m = 5.5
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