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Simplifying -2k + -7 + 5k = -18k + 5(-5k + 17) Reorder the terms: -7 + -2k + 5k = -18k + 5(-5k + 17) Combine like terms: -2k + 5k = 3k -7 + 3k = -18k + 5(-5k + 17) Reorder the terms: -7 + 3k = -18k + 5(17 + -5k) -7 + 3k = -18k + (17 * 5 + -5k * 5) -7 + 3k = -18k + (85 + -25k) Reorder the terms: -7 + 3k = 85 + -18k + -25k Combine like terms: -18k + -25k = -43k -7 + 3k = 85 + -43k Solving -7 + 3k = 85 + -43k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '43k' to each side of the equation. -7 + 3k + 43k = 85 + -43k + 43k Combine like terms: 3k + 43k = 46k -7 + 46k = 85 + -43k + 43k Combine like terms: -43k + 43k = 0 -7 + 46k = 85 + 0 -7 + 46k = 85 Add '7' to each side of the equation. -7 + 7 + 46k = 85 + 7 Combine like terms: -7 + 7 = 0 0 + 46k = 85 + 7 46k = 85 + 7 Combine like terms: 85 + 7 = 92 46k = 92 Divide each side by '46'. k = 2 Simplifying k = 2
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