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Simplifying 2(3v + -8) + (2 + -5m)(-5) = 0 Reorder the terms: 2(-8 + 3v) + (2 + -5m)(-5) = 0 (-8 * 2 + 3v * 2) + (2 + -5m)(-5) = 0 (-16 + 6v) + (2 + -5m)(-5) = 0 Reorder the terms for easier multiplication: -16 + 6v + -5(2 + -5m) = 0 -16 + 6v + (2 * -5 + -5m * -5) = 0 -16 + 6v + (-10 + 25m) = 0 Reorder the terms: -16 + -10 + 25m + 6v = 0 Combine like terms: -16 + -10 = -26 -26 + 25m + 6v = 0 Solving -26 + 25m + 6v = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 25m + 26 + 6v = 0 + 26 Reorder the terms: -26 + 26 + 25m + 6v = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 25m + 6v = 0 + 26 25m + 6v = 0 + 26 Combine like terms: 0 + 26 = 26 25m + 6v = 26 Add '-6v' to each side of the equation. 25m + 6v + -6v = 26 + -6v Combine like terms: 6v + -6v = 0 25m + 0 = 26 + -6v 25m = 26 + -6v Divide each side by '25'. m = 1.04 + -0.24v Simplifying m = 1.04 + -0.24v
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