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Simplifying -3(-8k + 1) = 45 Reorder the terms: -3(1 + -8k) = 45 (1 * -3 + -8k * -3) = 45 (-3 + 24k) = 45 Solving -3 + 24k = 45 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 + 24k = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 24k = 45 + 3 24k = 45 + 3 Combine like terms: 45 + 3 = 48 24k = 48 Divide each side by '24'. k = 2 Simplifying k = 2
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