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Simplifying 8(4k + -4) = 15k Reorder the terms: 8(-4 + 4k) = 15k (-4 * 8 + 4k * 8) = 15k (-32 + 32k) = 15k Solving -32 + 32k = 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -32 + 32k + -15k = 15k + -15k Combine like terms: 32k + -15k = 17k -32 + 17k = 15k + -15k Combine like terms: 15k + -15k = 0 -32 + 17k = 0 Add '32' to each side of the equation. -32 + 32 + 17k = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 17k = 0 + 32 17k = 0 + 32 Combine like terms: 0 + 32 = 32 17k = 32 Divide each side by '17'. k = 1.882352941 Simplifying k = 1.882352941
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