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Simplifying 19 = 7m + 5(3 + -1m) 19 = 7m + (3 * 5 + -1m * 5) 19 = 7m + (15 + -5m) Reorder the terms: 19 = 15 + 7m + -5m Combine like terms: 7m + -5m = 2m 19 = 15 + 2m Solving 19 = 15 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 19 + -2m = 15 + 2m + -2m Combine like terms: 2m + -2m = 0 19 + -2m = 15 + 0 19 + -2m = 15 Add '-19' to each side of the equation. 19 + -19 + -2m = 15 + -19 Combine like terms: 19 + -19 = 0 0 + -2m = 15 + -19 -2m = 15 + -19 Combine like terms: 15 + -19 = -4 -2m = -4 Divide each side by '-2'. m = 2 Simplifying m = 2
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