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Simplifying 5(5m + -7) = -6(2 + -8m) Reorder the terms: 5(-7 + 5m) = -6(2 + -8m) (-7 * 5 + 5m * 5) = -6(2 + -8m) (-35 + 25m) = -6(2 + -8m) -35 + 25m = (2 * -6 + -8m * -6) -35 + 25m = (-12 + 48m) Solving -35 + 25m = -12 + 48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48m' to each side of the equation. -35 + 25m + -48m = -12 + 48m + -48m Combine like terms: 25m + -48m = -23m -35 + -23m = -12 + 48m + -48m Combine like terms: 48m + -48m = 0 -35 + -23m = -12 + 0 -35 + -23m = -12 Add '35' to each side of the equation. -35 + 35 + -23m = -12 + 35 Combine like terms: -35 + 35 = 0 0 + -23m = -12 + 35 -23m = -12 + 35 Combine like terms: -12 + 35 = 23 -23m = 23 Divide each side by '-23'. m = -1 Simplifying m = -1
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