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Simplifying -35 + k = 8 + 5(3 + 6k) -35 + k = 8 + (3 * 5 + 6k * 5) -35 + k = 8 + (15 + 30k) Combine like terms: 8 + 15 = 23 -35 + k = 23 + 30k Solving -35 + k = 23 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -35 + k + -30k = 23 + 30k + -30k Combine like terms: k + -30k = -29k -35 + -29k = 23 + 30k + -30k Combine like terms: 30k + -30k = 0 -35 + -29k = 23 + 0 -35 + -29k = 23 Add '35' to each side of the equation. -35 + 35 + -29k = 23 + 35 Combine like terms: -35 + 35 = 0 0 + -29k = 23 + 35 -29k = 23 + 35 Combine like terms: 23 + 35 = 58 -29k = 58 Divide each side by '-29'. k = -2 Simplifying k = -2
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