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Simplifying 6(2m + -3) + -3 = 2m + -18 + m Reorder the terms: 6(-3 + 2m) + -3 = 2m + -18 + m (-3 * 6 + 2m * 6) + -3 = 2m + -18 + m (-18 + 12m) + -3 = 2m + -18 + m Reorder the terms: -18 + -3 + 12m = 2m + -18 + m Combine like terms: -18 + -3 = -21 -21 + 12m = 2m + -18 + m Reorder the terms: -21 + 12m = -18 + 2m + m Combine like terms: 2m + m = 3m -21 + 12m = -18 + 3m Solving -21 + 12m = -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. -21 + 12m + -3m = -18 + 3m + -3m Combine like terms: 12m + -3m = 9m -21 + 9m = -18 + 3m + -3m Combine like terms: 3m + -3m = 0 -21 + 9m = -18 + 0 -21 + 9m = -18 Add '21' to each side of the equation. -21 + 21 + 9m = -18 + 21 Combine like terms: -21 + 21 = 0 0 + 9m = -18 + 21 9m = -18 + 21 Combine like terms: -18 + 21 = 3 9m = 3 Divide each side by '9'. m = 0.3333333333 Simplifying m = 0.3333333333
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