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Simplifying 3(6m + -10) = 4(2m + 5) Reorder the terms: 3(-10 + 6m) = 4(2m + 5) (-10 * 3 + 6m * 3) = 4(2m + 5) (-30 + 18m) = 4(2m + 5) Reorder the terms: -30 + 18m = 4(5 + 2m) -30 + 18m = (5 * 4 + 2m * 4) -30 + 18m = (20 + 8m) Solving -30 + 18m = 20 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -30 + 18m + -8m = 20 + 8m + -8m Combine like terms: 18m + -8m = 10m -30 + 10m = 20 + 8m + -8m Combine like terms: 8m + -8m = 0 -30 + 10m = 20 + 0 -30 + 10m = 20 Add '30' to each side of the equation. -30 + 30 + 10m = 20 + 30 Combine like terms: -30 + 30 = 0 0 + 10m = 20 + 30 10m = 20 + 30 Combine like terms: 20 + 30 = 50 10m = 50 Divide each side by '10'. m = 5 Simplifying m = 5
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