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Simplifying -20 + -8(7k + 18) = -17k + 10 + 19k Reorder the terms: -20 + -8(18 + 7k) = -17k + 10 + 19k -20 + (18 * -8 + 7k * -8) = -17k + 10 + 19k -20 + (-144 + -56k) = -17k + 10 + 19k Combine like terms: -20 + -144 = -164 -164 + -56k = -17k + 10 + 19k Reorder the terms: -164 + -56k = 10 + -17k + 19k Combine like terms: -17k + 19k = 2k -164 + -56k = 10 + 2k Solving -164 + -56k = 10 + 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. -164 + -56k + -2k = 10 + 2k + -2k Combine like terms: -56k + -2k = -58k -164 + -58k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 -164 + -58k = 10 + 0 -164 + -58k = 10 Add '164' to each side of the equation. -164 + 164 + -58k = 10 + 164 Combine like terms: -164 + 164 = 0 0 + -58k = 10 + 164 -58k = 10 + 164 Combine like terms: 10 + 164 = 174 -58k = 174 Divide each side by '-58'. k = -3 Simplifying k = -3
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