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Simplifying 3m + 19 = 4m + 10 Reorder the terms: 19 + 3m = 4m + 10 Reorder the terms: 19 + 3m = 10 + 4m Solving 19 + 3m = 10 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 19 + 3m + -4m = 10 + 4m + -4m Combine like terms: 3m + -4m = -1m 19 + -1m = 10 + 4m + -4m Combine like terms: 4m + -4m = 0 19 + -1m = 10 + 0 19 + -1m = 10 Add '-19' to each side of the equation. 19 + -19 + -1m = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -1m = 10 + -19 -1m = 10 + -19 Combine like terms: 10 + -19 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9
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