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Simplifying 2m + 1(3m + -1) = 6m Reorder the terms: 2m + 1(-1 + 3m) = 6m 2m + (-1 * 1 + 3m * 1) = 6m 2m + (-1 + 3m) = 6m Reorder the terms: -1 + 2m + 3m = 6m Combine like terms: 2m + 3m = 5m -1 + 5m = 6m Solving -1 + 5m = 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -1 + 5m + -6m = 6m + -6m Combine like terms: 5m + -6m = -1m -1 + -1m = 6m + -6m Combine like terms: 6m + -6m = 0 -1 + -1m = 0 Add '1' to each side of the equation. -1 + 1 + -1m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = 0 + 1 -1m = 0 + 1 Combine like terms: 0 + 1 = 1 -1m = 1 Divide each side by '-1'. m = -1 Simplifying m = -1
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