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Simplifying 4 + 3(4k + -5) = 85 Reorder the terms: 4 + 3(-5 + 4k) = 85 4 + (-5 * 3 + 4k * 3) = 85 4 + (-15 + 12k) = 85 Combine like terms: 4 + -15 = -11 -11 + 12k = 85 Solving -11 + 12k = 85 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12k = 85 + 11 Combine like terms: -11 + 11 = 0 0 + 12k = 85 + 11 12k = 85 + 11 Combine like terms: 85 + 11 = 96 12k = 96 Divide each side by '12'. k = 8 Simplifying k = 8
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