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Simplifying 2m + 14 = 3m + -19 Reorder the terms: 14 + 2m = 3m + -19 Reorder the terms: 14 + 2m = -19 + 3m Solving 14 + 2m = -19 + 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. 14 + 2m + -3m = -19 + 3m + -3m Combine like terms: 2m + -3m = -1m 14 + -1m = -19 + 3m + -3m Combine like terms: 3m + -3m = 0 14 + -1m = -19 + 0 14 + -1m = -19 Add '-14' to each side of the equation. 14 + -14 + -1m = -19 + -14 Combine like terms: 14 + -14 = 0 0 + -1m = -19 + -14 -1m = -19 + -14 Combine like terms: -19 + -14 = -33 -1m = -33 Divide each side by '-1'. m = 33 Simplifying m = 33
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