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Simplifying 3(3m + -6 + 3m) = 2m + 2 + -4m Reorder the terms: 3(-6 + 3m + 3m) = 2m + 2 + -4m Combine like terms: 3m + 3m = 6m 3(-6 + 6m) = 2m + 2 + -4m (-6 * 3 + 6m * 3) = 2m + 2 + -4m (-18 + 18m) = 2m + 2 + -4m Reorder the terms: -18 + 18m = 2 + 2m + -4m Combine like terms: 2m + -4m = -2m -18 + 18m = 2 + -2m Solving -18 + 18m = 2 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -18 + 18m + 2m = 2 + -2m + 2m Combine like terms: 18m + 2m = 20m -18 + 20m = 2 + -2m + 2m Combine like terms: -2m + 2m = 0 -18 + 20m = 2 + 0 -18 + 20m = 2 Add '18' to each side of the equation. -18 + 18 + 20m = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 20m = 2 + 18 20m = 2 + 18 Combine like terms: 2 + 18 = 20 20m = 20 Divide each side by '20'. m = 1 Simplifying m = 1
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