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Simplifying 6(3 + -2m) = 5(m + -2) (3 * 6 + -2m * 6) = 5(m + -2) (18 + -12m) = 5(m + -2) Reorder the terms: 18 + -12m = 5(-2 + m) 18 + -12m = (-2 * 5 + m * 5) 18 + -12m = (-10 + 5m) Solving 18 + -12m = -10 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 18 + -12m + -5m = -10 + 5m + -5m Combine like terms: -12m + -5m = -17m 18 + -17m = -10 + 5m + -5m Combine like terms: 5m + -5m = 0 18 + -17m = -10 + 0 18 + -17m = -10 Add '-18' to each side of the equation. 18 + -18 + -17m = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -17m = -10 + -18 -17m = -10 + -18 Combine like terms: -10 + -18 = -28 -17m = -28 Divide each side by '-17'. m = 1.647058824 Simplifying m = 1.647058824
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