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Simplifying 3(k + -8) + -1(5 + 7k) = -5k Reorder the terms: 3(-8 + k) + -1(5 + 7k) = -5k (-8 * 3 + k * 3) + -1(5 + 7k) = -5k (-24 + 3k) + -1(5 + 7k) = -5k -24 + 3k + (5 * -1 + 7k * -1) = -5k -24 + 3k + (-5 + -7k) = -5k Reorder the terms: -24 + -5 + 3k + -7k = -5k Combine like terms: -24 + -5 = -29 -29 + 3k + -7k = -5k Combine like terms: 3k + -7k = -4k -29 + -4k = -5k Solving -29 + -4k = -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. -29 + -4k + 5k = -5k + 5k Combine like terms: -4k + 5k = 1k -29 + 1k = -5k + 5k Combine like terms: -5k + 5k = 0 -29 + 1k = 0 Add '29' to each side of the equation. -29 + 29 + 1k = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1k = 0 + 29 1k = 0 + 29 Combine like terms: 0 + 29 = 29 1k = 29 Divide each side by '1'. k = 29 Simplifying k = 29
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