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Simplifying -4(1 + -5k) + 3k = 2k + 17 (1 * -4 + -5k * -4) + 3k = 2k + 17 (-4 + 20k) + 3k = 2k + 17 Combine like terms: 20k + 3k = 23k -4 + 23k = 2k + 17 Reorder the terms: -4 + 23k = 17 + 2k Solving -4 + 23k = 17 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -4 + 23k + -2k = 17 + 2k + -2k Combine like terms: 23k + -2k = 21k -4 + 21k = 17 + 2k + -2k Combine like terms: 2k + -2k = 0 -4 + 21k = 17 + 0 -4 + 21k = 17 Add '4' to each side of the equation. -4 + 4 + 21k = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 21k = 17 + 4 21k = 17 + 4 Combine like terms: 17 + 4 = 21 21k = 21 Divide each side by '21'. k = 1 Simplifying k = 1
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