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Simplifying -19(1 + -3k) + -5k = 553 (1 * -19 + -3k * -19) + -5k = 553 (-19 + 57k) + -5k = 553 Combine like terms: 57k + -5k = 52k -19 + 52k = 553 Solving -19 + 52k = 553 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 52k = 553 + 19 Combine like terms: -19 + 19 = 0 0 + 52k = 553 + 19 52k = 553 + 19 Combine like terms: 553 + 19 = 572 52k = 572 Divide each side by '52'. k = 11 Simplifying k = 11
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