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Simplifying 0 = 5(8 + m) + 2(7 + 7m) 0 = (8 * 5 + m * 5) + 2(7 + 7m) 0 = (40 + 5m) + 2(7 + 7m) 0 = 40 + 5m + (7 * 2 + 7m * 2) 0 = 40 + 5m + (14 + 14m) Reorder the terms: 0 = 40 + 14 + 5m + 14m Combine like terms: 40 + 14 = 54 0 = 54 + 5m + 14m Combine like terms: 5m + 14m = 19m 0 = 54 + 19m Solving 0 = 54 + 19m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19m' to each side of the equation. 0 + -19m = 54 + 19m + -19m Remove the zero: -19m = 54 + 19m + -19m Combine like terms: 19m + -19m = 0 -19m = 54 + 0 -19m = 54 Divide each side by '-19'. m = -2.842105263 Simplifying m = -2.842105263
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