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Simplifying 6k + 32 = 8k + 4(3k + -6) Reorder the terms: 32 + 6k = 8k + 4(3k + -6) Reorder the terms: 32 + 6k = 8k + 4(-6 + 3k) 32 + 6k = 8k + (-6 * 4 + 3k * 4) 32 + 6k = 8k + (-24 + 12k) Reorder the terms: 32 + 6k = -24 + 8k + 12k Combine like terms: 8k + 12k = 20k 32 + 6k = -24 + 20k Solving 32 + 6k = -24 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 32 + 6k + -20k = -24 + 20k + -20k Combine like terms: 6k + -20k = -14k 32 + -14k = -24 + 20k + -20k Combine like terms: 20k + -20k = 0 32 + -14k = -24 + 0 32 + -14k = -24 Add '-32' to each side of the equation. 32 + -32 + -14k = -24 + -32 Combine like terms: 32 + -32 = 0 0 + -14k = -24 + -32 -14k = -24 + -32 Combine like terms: -24 + -32 = -56 -14k = -56 Divide each side by '-14'. k = 4 Simplifying k = 4
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