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Simplifying 6(5m + -3) = 2(4m + 2) Reorder the terms: 6(-3 + 5m) = 2(4m + 2) (-3 * 6 + 5m * 6) = 2(4m + 2) (-18 + 30m) = 2(4m + 2) Reorder the terms: -18 + 30m = 2(2 + 4m) -18 + 30m = (2 * 2 + 4m * 2) -18 + 30m = (4 + 8m) Solving -18 + 30m = 4 + 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. -18 + 30m + -8m = 4 + 8m + -8m Combine like terms: 30m + -8m = 22m -18 + 22m = 4 + 8m + -8m Combine like terms: 8m + -8m = 0 -18 + 22m = 4 + 0 -18 + 22m = 4 Add '18' to each side of the equation. -18 + 18 + 22m = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 22m = 4 + 18 22m = 4 + 18 Combine like terms: 4 + 18 = 22 22m = 22 Divide each side by '22'. m = 1 Simplifying m = 1
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