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Simplifying -8(m + 1) + 5(3m + -2) = 0 Reorder the terms: -8(1 + m) + 5(3m + -2) = 0 (1 * -8 + m * -8) + 5(3m + -2) = 0 (-8 + -8m) + 5(3m + -2) = 0 Reorder the terms: -8 + -8m + 5(-2 + 3m) = 0 -8 + -8m + (-2 * 5 + 3m * 5) = 0 -8 + -8m + (-10 + 15m) = 0 Reorder the terms: -8 + -10 + -8m + 15m = 0 Combine like terms: -8 + -10 = -18 -18 + -8m + 15m = 0 Combine like terms: -8m + 15m = 7m -18 + 7m = 0 Solving -18 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7m = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7m = 0 + 18 7m = 0 + 18 Combine like terms: 0 + 18 = 18 7m = 18 Divide each side by '7'. m = 2.571428571 Simplifying m = 2.571428571
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