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Simplifying 3(m + 6) = 4(m + -1) Reorder the terms: 3(6 + m) = 4(m + -1) (6 * 3 + m * 3) = 4(m + -1) (18 + 3m) = 4(m + -1) Reorder the terms: 18 + 3m = 4(-1 + m) 18 + 3m = (-1 * 4 + m * 4) 18 + 3m = (-4 + 4m) Solving 18 + 3m = -4 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 18 + 3m + -4m = -4 + 4m + -4m Combine like terms: 3m + -4m = -1m 18 + -1m = -4 + 4m + -4m Combine like terms: 4m + -4m = 0 18 + -1m = -4 + 0 18 + -1m = -4 Add '-18' to each side of the equation. 18 + -18 + -1m = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -1m = -4 + -18 -1m = -4 + -18 Combine like terms: -4 + -18 = -22 -1m = -22 Divide each side by '-1'. m = 22 Simplifying m = 22
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