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Simplifying 8(k + -3) = 5k + 3 Reorder the terms: 8(-3 + k) = 5k + 3 (-3 * 8 + k * 8) = 5k + 3 (-24 + 8k) = 5k + 3 Reorder the terms: -24 + 8k = 3 + 5k Solving -24 + 8k = 3 + 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 + 8k + -5k = 3 + 5k + -5k Combine like terms: 8k + -5k = 3k -24 + 3k = 3 + 5k + -5k Combine like terms: 5k + -5k = 0 -24 + 3k = 3 + 0 -24 + 3k = 3 Add '24' to each side of the equation. -24 + 24 + 3k = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 3k = 3 + 24 3k = 3 + 24 Combine like terms: 3 + 24 = 27 3k = 27 Divide each side by '3'. k = 9 Simplifying k = 9
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