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Simplifying -5(-8k + 2) + -2(3v + 8) = -60 Reorder the terms: -5(2 + -8k) + -2(3v + 8) = -60 (2 * -5 + -8k * -5) + -2(3v + 8) = -60 (-10 + 40k) + -2(3v + 8) = -60 Reorder the terms: -10 + 40k + -2(8 + 3v) = -60 -10 + 40k + (8 * -2 + 3v * -2) = -60 -10 + 40k + (-16 + -6v) = -60 Reorder the terms: -10 + -16 + 40k + -6v = -60 Combine like terms: -10 + -16 = -26 -26 + 40k + -6v = -60 Solving -26 + 40k + -6v = -60 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 40k + 26 + -6v = -60 + 26 Reorder the terms: -26 + 26 + 40k + -6v = -60 + 26 Combine like terms: -26 + 26 = 0 0 + 40k + -6v = -60 + 26 40k + -6v = -60 + 26 Combine like terms: -60 + 26 = -34 40k + -6v = -34 Add '6v' to each side of the equation. 40k + -6v + 6v = -34 + 6v Combine like terms: -6v + 6v = 0 40k + 0 = -34 + 6v 40k = -34 + 6v Divide each side by '40'. k = -0.85 + 0.15v Simplifying k = -0.85 + 0.15v
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