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Simplifying 32 + 6k = 8(-1k + 4) Reorder the terms: 32 + 6k = 8(4 + -1k) 32 + 6k = (4 * 8 + -1k * 8) 32 + 6k = (32 + -8k) Add '-32' to each side of the equation. 32 + -32 + 6k = 32 + -32 + -8k Combine like terms: 32 + -32 = 0 0 + 6k = 32 + -32 + -8k 6k = 32 + -32 + -8k Combine like terms: 32 + -32 = 0 6k = 0 + -8k 6k = -8k Solving 6k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 6k + 8k = -8k + 8k Combine like terms: 6k + 8k = 14k 14k = -8k + 8k Combine like terms: -8k + 8k = 0 14k = 0 Divide each side by '14'. k = 0 Simplifying k = 0
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