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Simplifying -3(k + 8) = 1 + 2k Reorder the terms: -3(8 + k) = 1 + 2k (8 * -3 + k * -3) = 1 + 2k (-24 + -3k) = 1 + 2k Solving -24 + -3k = 1 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -24 + -3k + -2k = 1 + 2k + -2k Combine like terms: -3k + -2k = -5k -24 + -5k = 1 + 2k + -2k Combine like terms: 2k + -2k = 0 -24 + -5k = 1 + 0 -24 + -5k = 1 Add '24' to each side of the equation. -24 + 24 + -5k = 1 + 24 Combine like terms: -24 + 24 = 0 0 + -5k = 1 + 24 -5k = 1 + 24 Combine like terms: 1 + 24 = 25 -5k = 25 Divide each side by '-5'. k = -5 Simplifying k = -5
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