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Simplifying -8(1 + -5m) + -7(m + 5) = 0 (1 * -8 + -5m * -8) + -7(m + 5) = 0 (-8 + 40m) + -7(m + 5) = 0 Reorder the terms: -8 + 40m + -7(5 + m) = 0 -8 + 40m + (5 * -7 + m * -7) = 0 -8 + 40m + (-35 + -7m) = 0 Reorder the terms: -8 + -35 + 40m + -7m = 0 Combine like terms: -8 + -35 = -43 -43 + 40m + -7m = 0 Combine like terms: 40m + -7m = 33m -43 + 33m = 0 Solving -43 + 33m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 33m = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 33m = 0 + 43 33m = 0 + 43 Combine like terms: 0 + 43 = 43 33m = 43 Divide each side by '33'. m = 1.303030303 Simplifying m = 1.303030303
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