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Simplifying 8(4k + -4) + 32 = 17k + 45 Reorder the terms: 8(-4 + 4k) + 32 = 17k + 45 (-4 * 8 + 4k * 8) + 32 = 17k + 45 (-32 + 32k) + 32 = 17k + 45 Reorder the terms: -32 + 32 + 32k = 17k + 45 Combine like terms: -32 + 32 = 0 0 + 32k = 17k + 45 32k = 17k + 45 Reorder the terms: 32k = 45 + 17k Solving 32k = 45 + 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 32k + -17k = 45 + 17k + -17k Combine like terms: 32k + -17k = 15k 15k = 45 + 17k + -17k Combine like terms: 17k + -17k = 0 15k = 45 + 0 15k = 45 Divide each side by '15'. k = 3 Simplifying k = 3
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