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Simplifying 8k + -3(3k + 1) = 5 Reorder the terms: 8k + -3(1 + 3k) = 5 8k + (1 * -3 + 3k * -3) = 5 8k + (-3 + -9k) = 5 Reorder the terms: -3 + 8k + -9k = 5 Combine like terms: 8k + -9k = -1k -3 + -1k = 5 Solving -3 + -1k = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1k = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = 5 + 3 -1k = 5 + 3 Combine like terms: 5 + 3 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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