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Simplifying 29 + 5k = -8k + -5(-7k + 3) Reorder the terms: 29 + 5k = -8k + -5(3 + -7k) 29 + 5k = -8k + (3 * -5 + -7k * -5) 29 + 5k = -8k + (-15 + 35k) Reorder the terms: 29 + 5k = -15 + -8k + 35k Combine like terms: -8k + 35k = 27k 29 + 5k = -15 + 27k Solving 29 + 5k = -15 + 27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27k' to each side of the equation. 29 + 5k + -27k = -15 + 27k + -27k Combine like terms: 5k + -27k = -22k 29 + -22k = -15 + 27k + -27k Combine like terms: 27k + -27k = 0 29 + -22k = -15 + 0 29 + -22k = -15 Add '-29' to each side of the equation. 29 + -29 + -22k = -15 + -29 Combine like terms: 29 + -29 = 0 0 + -22k = -15 + -29 -22k = -15 + -29 Combine like terms: -15 + -29 = -44 -22k = -44 Divide each side by '-22'. k = 2 Simplifying k = 2
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