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Simplifying 8(k + 7) = 12k + -4 Reorder the terms: 8(7 + k) = 12k + -4 (7 * 8 + k * 8) = 12k + -4 (56 + 8k) = 12k + -4 Reorder the terms: 56 + 8k = -4 + 12k Solving 56 + 8k = -4 + 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. 56 + 8k + -12k = -4 + 12k + -12k Combine like terms: 8k + -12k = -4k 56 + -4k = -4 + 12k + -12k Combine like terms: 12k + -12k = 0 56 + -4k = -4 + 0 56 + -4k = -4 Add '-56' to each side of the equation. 56 + -56 + -4k = -4 + -56 Combine like terms: 56 + -56 = 0 0 + -4k = -4 + -56 -4k = -4 + -56 Combine like terms: -4 + -56 = -60 -4k = -60 Divide each side by '-4'. k = 15 Simplifying k = 15
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