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Simplifying 6(2m + -3) + -3m = 2m + -18 + 8 Reorder the terms: 6(-3 + 2m) + -3m = 2m + -18 + 8 (-3 * 6 + 2m * 6) + -3m = 2m + -18 + 8 (-18 + 12m) + -3m = 2m + -18 + 8 Combine like terms: 12m + -3m = 9m -18 + 9m = 2m + -18 + 8 Reorder the terms: -18 + 9m = -18 + 8 + 2m Combine like terms: -18 + 8 = -10 -18 + 9m = -10 + 2m Solving -18 + 9m = -10 + 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. -18 + 9m + -2m = -10 + 2m + -2m Combine like terms: 9m + -2m = 7m -18 + 7m = -10 + 2m + -2m Combine like terms: 2m + -2m = 0 -18 + 7m = -10 + 0 -18 + 7m = -10 Add '18' to each side of the equation. -18 + 18 + 7m = -10 + 18 Combine like terms: -18 + 18 = 0 0 + 7m = -10 + 18 7m = -10 + 18 Combine like terms: -10 + 18 = 8 7m = 8 Divide each side by '7'. m = 1.142857143 Simplifying m = 1.142857143
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