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Simplifying 14m + -10 = 3(4 + 1m) Reorder the terms: -10 + 14m = 3(4 + 1m) -10 + 14m = (4 * 3 + 1m * 3) -10 + 14m = (12 + 3m) Solving -10 + 14m = 12 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -10 + 14m + -3m = 12 + 3m + -3m Combine like terms: 14m + -3m = 11m -10 + 11m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 -10 + 11m = 12 + 0 -10 + 11m = 12 Add '10' to each side of the equation. -10 + 10 + 11m = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 11m = 12 + 10 11m = 12 + 10 Combine like terms: 12 + 10 = 22 11m = 22 Divide each side by '11'. m = 2 Simplifying m = 2
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