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Simplifying 5(2m + -7) = 8 + -1(5 + -14m) Reorder the terms: 5(-7 + 2m) = 8 + -1(5 + -14m) (-7 * 5 + 2m * 5) = 8 + -1(5 + -14m) (-35 + 10m) = 8 + -1(5 + -14m) -35 + 10m = 8 + (5 * -1 + -14m * -1) -35 + 10m = 8 + (-5 + 14m) Combine like terms: 8 + -5 = 3 -35 + 10m = 3 + 14m Solving -35 + 10m = 3 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. -35 + 10m + -14m = 3 + 14m + -14m Combine like terms: 10m + -14m = -4m -35 + -4m = 3 + 14m + -14m Combine like terms: 14m + -14m = 0 -35 + -4m = 3 + 0 -35 + -4m = 3 Add '35' to each side of the equation. -35 + 35 + -4m = 3 + 35 Combine like terms: -35 + 35 = 0 0 + -4m = 3 + 35 -4m = 3 + 35 Combine like terms: 3 + 35 = 38 -4m = 38 Divide each side by '-4'. m = -9.5 Simplifying m = -9.5
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