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Simplifying 6(5m + -3) = 4(5m + 3) Reorder the terms: 6(-3 + 5m) = 4(5m + 3) (-3 * 6 + 5m * 6) = 4(5m + 3) (-18 + 30m) = 4(5m + 3) Reorder the terms: -18 + 30m = 4(3 + 5m) -18 + 30m = (3 * 4 + 5m * 4) -18 + 30m = (12 + 20m) Solving -18 + 30m = 12 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. -18 + 30m + -20m = 12 + 20m + -20m Combine like terms: 30m + -20m = 10m -18 + 10m = 12 + 20m + -20m Combine like terms: 20m + -20m = 0 -18 + 10m = 12 + 0 -18 + 10m = 12 Add '18' to each side of the equation. -18 + 18 + 10m = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10m = 12 + 18 10m = 12 + 18 Combine like terms: 12 + 18 = 30 10m = 30 Divide each side by '10'. m = 3 Simplifying m = 3
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