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Simplifying 12k + 3r + -5r + 16 + -4k = 0 Reorder the terms: 16 + 12k + -4k + 3r + -5r = 0 Combine like terms: 12k + -4k = 8k 16 + 8k + 3r + -5r = 0 Combine like terms: 3r + -5r = -2r 16 + 8k + -2r = 0 Solving 16 + 8k + -2r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 8k + -16 + -2r = 0 + -16 Reorder the terms: 16 + -16 + 8k + -2r = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8k + -2r = 0 + -16 8k + -2r = 0 + -16 Combine like terms: 0 + -16 = -16 8k + -2r = -16 Add '2r' to each side of the equation. 8k + -2r + 2r = -16 + 2r Combine like terms: -2r + 2r = 0 8k + 0 = -16 + 2r 8k = -16 + 2r Divide each side by '8'. k = -2 + 0.25r Simplifying k = -2 + 0.25r
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