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Simplifying -1(5 + -6k) + -5(k + -7) = 29 (5 * -1 + -6k * -1) + -5(k + -7) = 29 (-5 + 6k) + -5(k + -7) = 29 Reorder the terms: -5 + 6k + -5(-7 + k) = 29 -5 + 6k + (-7 * -5 + k * -5) = 29 -5 + 6k + (35 + -5k) = 29 Reorder the terms: -5 + 35 + 6k + -5k = 29 Combine like terms: -5 + 35 = 30 30 + 6k + -5k = 29 Combine like terms: 6k + -5k = 1k 30 + 1k = 29 Solving 30 + 1k = 29 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 1k = 29 + -30 Combine like terms: 30 + -30 = 0 0 + 1k = 29 + -30 1k = 29 + -30 Combine like terms: 29 + -30 = -1 1k = -1 Divide each side by '1'. k = -1 Simplifying k = -1
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