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Simplifying 6(2 + 5m) = 3(4 + 11m) (2 * 6 + 5m * 6) = 3(4 + 11m) (12 + 30m) = 3(4 + 11m) 12 + 30m = (4 * 3 + 11m * 3) 12 + 30m = (12 + 33m) Add '-12' to each side of the equation. 12 + -12 + 30m = 12 + -12 + 33m Combine like terms: 12 + -12 = 0 0 + 30m = 12 + -12 + 33m 30m = 12 + -12 + 33m Combine like terms: 12 + -12 = 0 30m = 0 + 33m 30m = 33m Solving 30m = 33m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-33m' to each side of the equation. 30m + -33m = 33m + -33m Combine like terms: 30m + -33m = -3m -3m = 33m + -33m Combine like terms: 33m + -33m = 0 -3m = 0 Divide each side by '-3'. m = 0 Simplifying m = 0
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