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Simplifying 5(m + -5) + 2(m + -8) = 0 Reorder the terms: 5(-5 + m) + 2(m + -8) = 0 (-5 * 5 + m * 5) + 2(m + -8) = 0 (-25 + 5m) + 2(m + -8) = 0 Reorder the terms: -25 + 5m + 2(-8 + m) = 0 -25 + 5m + (-8 * 2 + m * 2) = 0 -25 + 5m + (-16 + 2m) = 0 Reorder the terms: -25 + -16 + 5m + 2m = 0 Combine like terms: -25 + -16 = -41 -41 + 5m + 2m = 0 Combine like terms: 5m + 2m = 7m -41 + 7m = 0 Solving -41 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 7m = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 7m = 0 + 41 7m = 0 + 41 Combine like terms: 0 + 41 = 41 7m = 41 Divide each side by '7'. m = 5.857142857 Simplifying m = 5.857142857
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