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Simplifying 3m + -1(1 + m) = 14 + -1m 3m + (1 * -1 + m * -1) = 14 + -1m 3m + (-1 + -1m) = 14 + -1m Reorder the terms: -1 + 3m + -1m = 14 + -1m Combine like terms: 3m + -1m = 2m -1 + 2m = 14 + -1m Solving -1 + 2m = 14 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -1 + 2m + m = 14 + -1m + m Combine like terms: 2m + m = 3m -1 + 3m = 14 + -1m + m Combine like terms: -1m + m = 0 -1 + 3m = 14 + 0 -1 + 3m = 14 Add '1' to each side of the equation. -1 + 1 + 3m = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 3m = 14 + 1 3m = 14 + 1 Combine like terms: 14 + 1 = 15 3m = 15 Divide each side by '3'. m = 5 Simplifying m = 5
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