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Simplifying 6(5m + -5) = 5(6 + -5m) Reorder the terms: 6(-5 + 5m) = 5(6 + -5m) (-5 * 6 + 5m * 6) = 5(6 + -5m) (-30 + 30m) = 5(6 + -5m) -30 + 30m = (6 * 5 + -5m * 5) -30 + 30m = (30 + -25m) Solving -30 + 30m = 30 + -25m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25m' to each side of the equation. -30 + 30m + 25m = 30 + -25m + 25m Combine like terms: 30m + 25m = 55m -30 + 55m = 30 + -25m + 25m Combine like terms: -25m + 25m = 0 -30 + 55m = 30 + 0 -30 + 55m = 30 Add '30' to each side of the equation. -30 + 30 + 55m = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 55m = 30 + 30 55m = 30 + 30 Combine like terms: 30 + 30 = 60 55m = 60 Divide each side by '55'. m = 1.090909091 Simplifying m = 1.090909091
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