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Simplifying 6v + -2k + -4 + 3v + -3k = 0 Reorder the terms: -4 + -2k + -3k + 6v + 3v = 0 Combine like terms: -2k + -3k = -5k -4 + -5k + 6v + 3v = 0 Combine like terms: 6v + 3v = 9v -4 + -5k + 9v = 0 Solving -4 + -5k + 9v = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -5k + 4 + 9v = 0 + 4 Reorder the terms: -4 + 4 + -5k + 9v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5k + 9v = 0 + 4 -5k + 9v = 0 + 4 Combine like terms: 0 + 4 = 4 -5k + 9v = 4 Add '-9v' to each side of the equation. -5k + 9v + -9v = 4 + -9v Combine like terms: 9v + -9v = 0 -5k + 0 = 4 + -9v -5k = 4 + -9v Divide each side by '-5'. k = -0.8 + 1.8v Simplifying k = -0.8 + 1.8v
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