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Simplifying 11(2m + 11) = 12(4m + 11) + -11 Reorder the terms: 11(11 + 2m) = 12(4m + 11) + -11 (11 * 11 + 2m * 11) = 12(4m + 11) + -11 (121 + 22m) = 12(4m + 11) + -11 Reorder the terms: 121 + 22m = 12(11 + 4m) + -11 121 + 22m = (11 * 12 + 4m * 12) + -11 121 + 22m = (132 + 48m) + -11 Reorder the terms: 121 + 22m = 132 + -11 + 48m Combine like terms: 132 + -11 = 121 121 + 22m = 121 + 48m Add '-121' to each side of the equation. 121 + -121 + 22m = 121 + -121 + 48m Combine like terms: 121 + -121 = 0 0 + 22m = 121 + -121 + 48m 22m = 121 + -121 + 48m Combine like terms: 121 + -121 = 0 22m = 0 + 48m 22m = 48m Solving 22m = 48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48m' to each side of the equation. 22m + -48m = 48m + -48m Combine like terms: 22m + -48m = -26m -26m = 48m + -48m Combine like terms: 48m + -48m = 0 -26m = 0 Divide each side by '-26'. m = 0 Simplifying m = 0
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