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