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Simplifying 6(5m + -3) = 0.3(24m + 12) Reorder the terms: 6(-3 + 5m) = 0.3(24m + 12) (-3 * 6 + 5m * 6) = 0.3(24m + 12) (-18 + 30m) = 0.3(24m + 12) Reorder the terms: -18 + 30m = 0.3(12 + 24m) -18 + 30m = (12 * 0.3 + 24m * 0.3) -18 + 30m = (3.6 + 7.2m) Solving -18 + 30m = 3.6 + 7.2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7.2m' to each side of the equation. -18 + 30m + -7.2m = 3.6 + 7.2m + -7.2m Combine like terms: 30m + -7.2m = 22.8m -18 + 22.8m = 3.6 + 7.2m + -7.2m Combine like terms: 7.2m + -7.2m = 0.0 -18 + 22.8m = 3.6 + 0.0 -18 + 22.8m = 3.6 Add '18' to each side of the equation. -18 + 18 + 22.8m = 3.6 + 18 Combine like terms: -18 + 18 = 0 0 + 22.8m = 3.6 + 18 22.8m = 3.6 + 18 Combine like terms: 3.6 + 18 = 21.6 22.8m = 21.6 Divide each side by '22.8'. m = 0.9473684211 Simplifying m = 0.9473684211
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