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Simplifying -5(-2k + 2) = 34 + -1k Reorder the terms: -5(2 + -2k) = 34 + -1k (2 * -5 + -2k * -5) = 34 + -1k (-10 + 10k) = 34 + -1k Solving -10 + 10k = 34 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -10 + 10k + k = 34 + -1k + k Combine like terms: 10k + k = 11k -10 + 11k = 34 + -1k + k Combine like terms: -1k + k = 0 -10 + 11k = 34 + 0 -10 + 11k = 34 Add '10' to each side of the equation. -10 + 10 + 11k = 34 + 10 Combine like terms: -10 + 10 = 0 0 + 11k = 34 + 10 11k = 34 + 10 Combine like terms: 34 + 10 = 44 11k = 44 Divide each side by '11'. k = 4 Simplifying k = 4
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