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Simplifying 3(1 + -7k) = 5k + 29 (1 * 3 + -7k * 3) = 5k + 29 (3 + -21k) = 5k + 29 Reorder the terms: 3 + -21k = 29 + 5k Solving 3 + -21k = 29 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 3 + -21k + -5k = 29 + 5k + -5k Combine like terms: -21k + -5k = -26k 3 + -26k = 29 + 5k + -5k Combine like terms: 5k + -5k = 0 3 + -26k = 29 + 0 3 + -26k = 29 Add '-3' to each side of the equation. 3 + -3 + -26k = 29 + -3 Combine like terms: 3 + -3 = 0 0 + -26k = 29 + -3 -26k = 29 + -3 Combine like terms: 29 + -3 = 26 -26k = 26 Divide each side by '-26'. k = -1 Simplifying k = -1
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