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Simplifying r + -1(5k + 5w) = 0 r + (5k * -1 + 5w * -1) = 0 r + (-5k + -5w) = 0 Reorder the terms: -5k + r + -5w = 0 Solving -5k + r + -5w = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1r' to each side of the equation. -5k + r + -1r + -5w = 0 + -1r Combine like terms: r + -1r = 0 -5k + 0 + -5w = 0 + -1r -5k + -5w = 0 + -1r Remove the zero: -5k + -5w = -1r Add '5w' to each side of the equation. -5k + -5w + 5w = -1r + 5w Combine like terms: -5w + 5w = 0 -5k + 0 = -1r + 5w -5k = -1r + 5w Divide each side by '-5'. k = 0.2r + -1w Simplifying k = 0.2r + -1w
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