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Simplifying 8(k + 3) = 12k + -3 Reorder the terms: 8(3 + k) = 12k + -3 (3 * 8 + k * 8) = 12k + -3 (24 + 8k) = 12k + -3 Reorder the terms: 24 + 8k = -3 + 12k Solving 24 + 8k = -3 + 12k 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 = -3 + 12k + -12k Combine like terms: 8k + -12k = -4k 24 + -4k = -3 + 12k + -12k Combine like terms: 12k + -12k = 0 24 + -4k = -3 + 0 24 + -4k = -3 Add '-24' to each side of the equation. 24 + -24 + -4k = -3 + -24 Combine like terms: 24 + -24 = 0 0 + -4k = -3 + -24 -4k = -3 + -24 Combine like terms: -3 + -24 = -27 -4k = -27 Divide each side by '-4'. k = 6.75 Simplifying k = 6.75
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