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Simplifying -5(3 + -5k) = 21k + 17 (3 * -5 + -5k * -5) = 21k + 17 (-15 + 25k) = 21k + 17 Reorder the terms: -15 + 25k = 17 + 21k Solving -15 + 25k = 17 + 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. -15 + 25k + -21k = 17 + 21k + -21k Combine like terms: 25k + -21k = 4k -15 + 4k = 17 + 21k + -21k Combine like terms: 21k + -21k = 0 -15 + 4k = 17 + 0 -15 + 4k = 17 Add '15' to each side of the equation. -15 + 15 + 4k = 17 + 15 Combine like terms: -15 + 15 = 0 0 + 4k = 17 + 15 4k = 17 + 15 Combine like terms: 17 + 15 = 32 4k = 32 Divide each side by '4'. k = 8 Simplifying k = 8
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