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Simplifying 3(m + -3) + 2(m + -3) = 2m + -3 Reorder the terms: 3(-3 + m) + 2(m + -3) = 2m + -3 (-3 * 3 + m * 3) + 2(m + -3) = 2m + -3 (-9 + 3m) + 2(m + -3) = 2m + -3 Reorder the terms: -9 + 3m + 2(-3 + m) = 2m + -3 -9 + 3m + (-3 * 2 + m * 2) = 2m + -3 -9 + 3m + (-6 + 2m) = 2m + -3 Reorder the terms: -9 + -6 + 3m + 2m = 2m + -3 Combine like terms: -9 + -6 = -15 -15 + 3m + 2m = 2m + -3 Combine like terms: 3m + 2m = 5m -15 + 5m = 2m + -3 Reorder the terms: -15 + 5m = -3 + 2m Solving -15 + 5m = -3 + 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. -15 + 5m + -2m = -3 + 2m + -2m Combine like terms: 5m + -2m = 3m -15 + 3m = -3 + 2m + -2m Combine like terms: 2m + -2m = 0 -15 + 3m = -3 + 0 -15 + 3m = -3 Add '15' to each side of the equation. -15 + 15 + 3m = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 3m = -3 + 15 3m = -3 + 15 Combine like terms: -3 + 15 = 12 3m = 12 Divide each side by '3'. m = 4 Simplifying m = 4
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