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Simplifying 29 + 5k = -8 + -5(-7k + 3) Reorder the terms: 29 + 5k = -8 + -5(3 + -7k) 29 + 5k = -8 + (3 * -5 + -7k * -5) 29 + 5k = -8 + (-15 + 35k) Combine like terms: -8 + -15 = -23 29 + 5k = -23 + 35k Solving 29 + 5k = -23 + 35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35k' to each side of the equation. 29 + 5k + -35k = -23 + 35k + -35k Combine like terms: 5k + -35k = -30k 29 + -30k = -23 + 35k + -35k Combine like terms: 35k + -35k = 0 29 + -30k = -23 + 0 29 + -30k = -23 Add '-29' to each side of the equation. 29 + -29 + -30k = -23 + -29 Combine like terms: 29 + -29 = 0 0 + -30k = -23 + -29 -30k = -23 + -29 Combine like terms: -23 + -29 = -52 -30k = -52 Divide each side by '-30'. k = 1.733333333 Simplifying k = 1.733333333
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