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Simplifying 10(5m + 3) = -5(7m + 6) Reorder the terms: 10(3 + 5m) = -5(7m + 6) (3 * 10 + 5m * 10) = -5(7m + 6) (30 + 50m) = -5(7m + 6) Reorder the terms: 30 + 50m = -5(6 + 7m) 30 + 50m = (6 * -5 + 7m * -5) 30 + 50m = (-30 + -35m) Solving 30 + 50m = -30 + -35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35m' to each side of the equation. 30 + 50m + 35m = -30 + -35m + 35m Combine like terms: 50m + 35m = 85m 30 + 85m = -30 + -35m + 35m Combine like terms: -35m + 35m = 0 30 + 85m = -30 + 0 30 + 85m = -30 Add '-30' to each side of the equation. 30 + -30 + 85m = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 85m = -30 + -30 85m = -30 + -30 Combine like terms: -30 + -30 = -60 85m = -60 Divide each side by '85'. m = -0.7058823529 Simplifying m = -0.7058823529
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