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Simplifying 2m + -3 = 3(m + -6) Reorder the terms: -3 + 2m = 3(m + -6) Reorder the terms: -3 + 2m = 3(-6 + m) -3 + 2m = (-6 * 3 + m * 3) -3 + 2m = (-18 + 3m) Solving -3 + 2m = -18 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -3 + 2m + -3m = -18 + 3m + -3m Combine like terms: 2m + -3m = -1m -3 + -1m = -18 + 3m + -3m Combine like terms: 3m + -3m = 0 -3 + -1m = -18 + 0 -3 + -1m = -18 Add '3' to each side of the equation. -3 + 3 + -1m = -18 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = -18 + 3 -1m = -18 + 3 Combine like terms: -18 + 3 = -15 -1m = -15 Divide each side by '-1'. m = 15 Simplifying m = 15
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