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