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Simplifying 4(-6k + 2) = 9k + -1 Reorder the terms: 4(2 + -6k) = 9k + -1 (2 * 4 + -6k * 4) = 9k + -1 (8 + -24k) = 9k + -1 Reorder the terms: 8 + -24k = -1 + 9k Solving 8 + -24k = -1 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 8 + -24k + -9k = -1 + 9k + -9k Combine like terms: -24k + -9k = -33k 8 + -33k = -1 + 9k + -9k Combine like terms: 9k + -9k = 0 8 + -33k = -1 + 0 8 + -33k = -1 Add '-8' to each side of the equation. 8 + -8 + -33k = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -33k = -1 + -8 -33k = -1 + -8 Combine like terms: -1 + -8 = -9 -33k = -9 Divide each side by '-33'. k = 0.2727272727 Simplifying k = 0.2727272727
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