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Simplifying 3(k + -8) = 5k Reorder the terms: 3(-8 + k) = 5k (-8 * 3 + k * 3) = 5k (-24 + 3k) = 5k Solving -24 + 3k = 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. -24 + 3k + -5k = 5k + -5k Combine like terms: 3k + -5k = -2k -24 + -2k = 5k + -5k Combine like terms: 5k + -5k = 0 -24 + -2k = 0 Add '24' to each side of the equation. -24 + 24 + -2k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -2k = 0 + 24 -2k = 0 + 24 Combine like terms: 0 + 24 = 24 -2k = 24 Divide each side by '-2'. k = -12 Simplifying k = -12
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