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Simplifying 8(k + 3) = 12k + -1r Reorder the terms: 8(3 + k) = 12k + -1r (3 * 8 + k * 8) = 12k + -1r (24 + 8k) = 12k + -1r Solving 24 + 8k = 12k + -1r Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 24 + 8k + -12k = 12k + -12k + -1r Combine like terms: 8k + -12k = -4k 24 + -4k = 12k + -12k + -1r Combine like terms: 12k + -12k = 0 24 + -4k = 0 + -1r 24 + -4k = -1r Add '-24' to each side of the equation. 24 + -24 + -4k = -24 + -1r Combine like terms: 24 + -24 = 0 0 + -4k = -24 + -1r -4k = -24 + -1r Divide each side by '-4'. k = 6 + 0.25r Simplifying k = 6 + 0.25r
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