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Simplifying -23 + 10r + 15k + -4r + -2k + 10 = 0 Reorder the terms: -23 + 10 + 15k + -2k + 10r + -4r = 0 Combine like terms: -23 + 10 = -13 -13 + 15k + -2k + 10r + -4r = 0 Combine like terms: 15k + -2k = 13k -13 + 13k + 10r + -4r = 0 Combine like terms: 10r + -4r = 6r -13 + 13k + 6r = 0 Solving -13 + 13k + 6r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13k + 13 + 6r = 0 + 13 Reorder the terms: -13 + 13 + 13k + 6r = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 13k + 6r = 0 + 13 13k + 6r = 0 + 13 Combine like terms: 0 + 13 = 13 13k + 6r = 13 Add '-6r' to each side of the equation. 13k + 6r + -6r = 13 + -6r Combine like terms: 6r + -6r = 0 13k + 0 = 13 + -6r 13k = 13 + -6r Divide each side by '13'. k = 1 + -0.4615384615r Simplifying k = 1 + -0.4615384615r
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