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Simplifying -5(7m + -6) = -50 + 5m Reorder the terms: -5(-6 + 7m) = -50 + 5m (-6 * -5 + 7m * -5) = -50 + 5m (30 + -35m) = -50 + 5m Solving 30 + -35m = -50 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 30 + -35m + -5m = -50 + 5m + -5m Combine like terms: -35m + -5m = -40m 30 + -40m = -50 + 5m + -5m Combine like terms: 5m + -5m = 0 30 + -40m = -50 + 0 30 + -40m = -50 Add '-30' to each side of the equation. 30 + -30 + -40m = -50 + -30 Combine like terms: 30 + -30 = 0 0 + -40m = -50 + -30 -40m = -50 + -30 Combine like terms: -50 + -30 = -80 -40m = -80 Divide each side by '-40'. m = 2 Simplifying m = 2
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