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Simplifying 5(1 + 3m) + -1(71 + 8m) = -6 (1 * 5 + 3m * 5) + -1(71 + 8m) = -6 (5 + 15m) + -1(71 + 8m) = -6 5 + 15m + (71 * -1 + 8m * -1) = -6 5 + 15m + (-71 + -8m) = -6 Reorder the terms: 5 + -71 + 15m + -8m = -6 Combine like terms: 5 + -71 = -66 -66 + 15m + -8m = -6 Combine like terms: 15m + -8m = 7m -66 + 7m = -6 Solving -66 + 7m = -6 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 7m = -6 + 66 Combine like terms: -66 + 66 = 0 0 + 7m = -6 + 66 7m = -6 + 66 Combine like terms: -6 + 66 = 60 7m = 60 Divide each side by '7'. m = 8.571428571 Simplifying m = 8.571428571
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