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Simplifying 2m + 3(m + -9) = 2(m + 3) Reorder the terms: 2m + 3(-9 + m) = 2(m + 3) 2m + (-9 * 3 + m * 3) = 2(m + 3) 2m + (-27 + 3m) = 2(m + 3) Reorder the terms: -27 + 2m + 3m = 2(m + 3) Combine like terms: 2m + 3m = 5m -27 + 5m = 2(m + 3) Reorder the terms: -27 + 5m = 2(3 + m) -27 + 5m = (3 * 2 + m * 2) -27 + 5m = (6 + 2m) Solving -27 + 5m = 6 + 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. -27 + 5m + -2m = 6 + 2m + -2m Combine like terms: 5m + -2m = 3m -27 + 3m = 6 + 2m + -2m Combine like terms: 2m + -2m = 0 -27 + 3m = 6 + 0 -27 + 3m = 6 Add '27' to each side of the equation. -27 + 27 + 3m = 6 + 27 Combine like terms: -27 + 27 = 0 0 + 3m = 6 + 27 3m = 6 + 27 Combine like terms: 6 + 27 = 33 3m = 33 Divide each side by '3'. m = 11 Simplifying m = 11
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