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Simplifying 6 + (2m + -3) + -3m = 2m + -18 + m Reorder the terms: 6 + (-3 + 2m) + -3m = 2m + -18 + m Remove parenthesis around (-3 + 2m) 6 + -3 + 2m + -3m = 2m + -18 + m Combine like terms: 6 + -3 = 3 3 + 2m + -3m = 2m + -18 + m Combine like terms: 2m + -3m = -1m 3 + -1m = 2m + -18 + m Reorder the terms: 3 + -1m = -18 + 2m + m Combine like terms: 2m + m = 3m 3 + -1m = -18 + 3m Solving 3 + -1m = -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 + -1m + -3m = -18 + 3m + -3m Combine like terms: -1m + -3m = -4m 3 + -4m = -18 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + -4m = -18 + 0 3 + -4m = -18 Add '-3' to each side of the equation. 3 + -3 + -4m = -18 + -3 Combine like terms: 3 + -3 = 0 0 + -4m = -18 + -3 -4m = -18 + -3 Combine like terms: -18 + -3 = -21 -4m = -21 Divide each side by '-4'. m = 5.25 Simplifying m = 5.25
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