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Simplifying 5(-2 + 8k) = 29 + k (-2 * 5 + 8k * 5) = 29 + k (-10 + 40k) = 29 + k Solving -10 + 40k = 29 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -10 + 40k + -1k = 29 + k + -1k Combine like terms: 40k + -1k = 39k -10 + 39k = 29 + k + -1k Combine like terms: k + -1k = 0 -10 + 39k = 29 + 0 -10 + 39k = 29 Add '10' to each side of the equation. -10 + 10 + 39k = 29 + 10 Combine like terms: -10 + 10 = 0 0 + 39k = 29 + 10 39k = 29 + 10 Combine like terms: 29 + 10 = 39 39k = 39 Divide each side by '39'. k = 1 Simplifying k = 1
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