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Simplifying 5(3m + -7) + -2(-8 + 7m) = 13 + -3(6 + -5m) Reorder the terms: 5(-7 + 3m) + -2(-8 + 7m) = 13 + -3(6 + -5m) (-7 * 5 + 3m * 5) + -2(-8 + 7m) = 13 + -3(6 + -5m) (-35 + 15m) + -2(-8 + 7m) = 13 + -3(6 + -5m) -35 + 15m + (-8 * -2 + 7m * -2) = 13 + -3(6 + -5m) -35 + 15m + (16 + -14m) = 13 + -3(6 + -5m) Reorder the terms: -35 + 16 + 15m + -14m = 13 + -3(6 + -5m) Combine like terms: -35 + 16 = -19 -19 + 15m + -14m = 13 + -3(6 + -5m) Combine like terms: 15m + -14m = 1m -19 + 1m = 13 + -3(6 + -5m) -19 + 1m = 13 + (6 * -3 + -5m * -3) -19 + 1m = 13 + (-18 + 15m) Combine like terms: 13 + -18 = -5 -19 + 1m = -5 + 15m Solving -19 + 1m = -5 + 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. -19 + 1m + -15m = -5 + 15m + -15m Combine like terms: 1m + -15m = -14m -19 + -14m = -5 + 15m + -15m Combine like terms: 15m + -15m = 0 -19 + -14m = -5 + 0 -19 + -14m = -5 Add '19' to each side of the equation. -19 + 19 + -14m = -5 + 19 Combine like terms: -19 + 19 = 0 0 + -14m = -5 + 19 -14m = -5 + 19 Combine like terms: -5 + 19 = 14 -14m = 14 Divide each side by '-14'. m = -1 Simplifying m = -1
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