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Simplifying 4(8k + 4) + -1 = -3k + 15 Reorder the terms: 4(4 + 8k) + -1 = -3k + 15 (4 * 4 + 8k * 4) + -1 = -3k + 15 (16 + 32k) + -1 = -3k + 15 Reorder the terms: 16 + -1 + 32k = -3k + 15 Combine like terms: 16 + -1 = 15 15 + 32k = -3k + 15 Reorder the terms: 15 + 32k = 15 + -3k Add '-15' to each side of the equation. 15 + -15 + 32k = 15 + -15 + -3k Combine like terms: 15 + -15 = 0 0 + 32k = 15 + -15 + -3k 32k = 15 + -15 + -3k Combine like terms: 15 + -15 = 0 32k = 0 + -3k 32k = -3k Solving 32k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 32k + 3k = -3k + 3k Combine like terms: 32k + 3k = 35k 35k = -3k + 3k Combine like terms: -3k + 3k = 0 35k = 0 Divide each side by '35'. k = 0 Simplifying k = 0
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