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Simplifying 17 + -3k = 7(8k + 4) Reorder the terms: 17 + -3k = 7(4 + 8k) 17 + -3k = (4 * 7 + 8k * 7) 17 + -3k = (28 + 56k) Solving 17 + -3k = 28 + 56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56k' to each side of the equation. 17 + -3k + -56k = 28 + 56k + -56k Combine like terms: -3k + -56k = -59k 17 + -59k = 28 + 56k + -56k Combine like terms: 56k + -56k = 0 17 + -59k = 28 + 0 17 + -59k = 28 Add '-17' to each side of the equation. 17 + -17 + -59k = 28 + -17 Combine like terms: 17 + -17 = 0 0 + -59k = 28 + -17 -59k = 28 + -17 Combine like terms: 28 + -17 = 11 -59k = 11 Divide each side by '-59'. k = -0.186440678 Simplifying k = -0.186440678
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