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Simplifying -6(3 + 5k) + 1 = 163 (3 * -6 + 5k * -6) + 1 = 163 (-18 + -30k) + 1 = 163 Reorder the terms: -18 + 1 + -30k = 163 Combine like terms: -18 + 1 = -17 -17 + -30k = 163 Solving -17 + -30k = 163 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -30k = 163 + 17 Combine like terms: -17 + 17 = 0 0 + -30k = 163 + 17 -30k = 163 + 17 Combine like terms: 163 + 17 = 180 -30k = 180 Divide each side by '-30'. k = -6 Simplifying k = -6
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