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Simplifying 6(2m + -3) + -3m + -2m = 18 + m Reorder the terms: 6(-3 + 2m) + -3m + -2m = 18 + m (-3 * 6 + 2m * 6) + -3m + -2m = 18 + m (-18 + 12m) + -3m + -2m = 18 + m Combine like terms: 12m + -3m = 9m -18 + 9m + -2m = 18 + m Combine like terms: 9m + -2m = 7m -18 + 7m = 18 + m Solving -18 + 7m = 18 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -18 + 7m + -1m = 18 + m + -1m Combine like terms: 7m + -1m = 6m -18 + 6m = 18 + m + -1m Combine like terms: m + -1m = 0 -18 + 6m = 18 + 0 -18 + 6m = 18 Add '18' to each side of the equation. -18 + 18 + 6m = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 6m = 18 + 18 6m = 18 + 18 Combine like terms: 18 + 18 = 36 6m = 36 Divide each side by '6'. m = 6 Simplifying m = 6
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