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Simplifying 2(8m + 11) = 4m + 11(11m + 2) Reorder the terms: 2(11 + 8m) = 4m + 11(11m + 2) (11 * 2 + 8m * 2) = 4m + 11(11m + 2) (22 + 16m) = 4m + 11(11m + 2) Reorder the terms: 22 + 16m = 4m + 11(2 + 11m) 22 + 16m = 4m + (2 * 11 + 11m * 11) 22 + 16m = 4m + (22 + 121m) Reorder the terms: 22 + 16m = 22 + 4m + 121m Combine like terms: 4m + 121m = 125m 22 + 16m = 22 + 125m Add '-22' to each side of the equation. 22 + -22 + 16m = 22 + -22 + 125m Combine like terms: 22 + -22 = 0 0 + 16m = 22 + -22 + 125m 16m = 22 + -22 + 125m Combine like terms: 22 + -22 = 0 16m = 0 + 125m 16m = 125m Solving 16m = 125m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-125m' to each side of the equation. 16m + -125m = 125m + -125m Combine like terms: 16m + -125m = -109m -109m = 125m + -125m Combine like terms: 125m + -125m = 0 -109m = 0 Divide each side by '-109'. m = 0 Simplifying m = 0
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