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Simplifying 7(m + -5) = 15(3 + -1m) + 2 Reorder the terms: 7(-5 + m) = 15(3 + -1m) + 2 (-5 * 7 + m * 7) = 15(3 + -1m) + 2 (-35 + 7m) = 15(3 + -1m) + 2 -35 + 7m = (3 * 15 + -1m * 15) + 2 -35 + 7m = (45 + -15m) + 2 Reorder the terms: -35 + 7m = 45 + 2 + -15m Combine like terms: 45 + 2 = 47 -35 + 7m = 47 + -15m Solving -35 + 7m = 47 + -15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15m' to each side of the equation. -35 + 7m + 15m = 47 + -15m + 15m Combine like terms: 7m + 15m = 22m -35 + 22m = 47 + -15m + 15m Combine like terms: -15m + 15m = 0 -35 + 22m = 47 + 0 -35 + 22m = 47 Add '35' to each side of the equation. -35 + 35 + 22m = 47 + 35 Combine like terms: -35 + 35 = 0 0 + 22m = 47 + 35 22m = 47 + 35 Combine like terms: 47 + 35 = 82 22m = 82 Divide each side by '22'. m = 3.727272727 Simplifying m = 3.727272727
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