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Simplifying 4(5k + -2) = 32 Reorder the terms: 4(-2 + 5k) = 32 (-2 * 4 + 5k * 4) = 32 (-8 + 20k) = 32 Solving -8 + 20k = 32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 20k = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 20k = 32 + 8 20k = 32 + 8 Combine like terms: 32 + 8 = 40 20k = 40 Divide each side by '20'. k = 2 Simplifying k = 2
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