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Simplifying 9m + -3(m + 6) = 2(m + 1) Reorder the terms: 9m + -3(6 + m) = 2(m + 1) 9m + (6 * -3 + m * -3) = 2(m + 1) 9m + (-18 + -3m) = 2(m + 1) Reorder the terms: -18 + 9m + -3m = 2(m + 1) Combine like terms: 9m + -3m = 6m -18 + 6m = 2(m + 1) Reorder the terms: -18 + 6m = 2(1 + m) -18 + 6m = (1 * 2 + m * 2) -18 + 6m = (2 + 2m) Solving -18 + 6m = 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 + 6m + -2m = 2 + 2m + -2m Combine like terms: 6m + -2m = 4m -18 + 4m = 2 + 2m + -2m Combine like terms: 2m + -2m = 0 -18 + 4m = 2 + 0 -18 + 4m = 2 Add '18' to each side of the equation. -18 + 18 + 4m = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 4m = 2 + 18 4m = 2 + 18 Combine like terms: 2 + 18 = 20 4m = 20 Divide each side by '4'. m = 5 Simplifying m = 5
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