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Simplifying 9 = 4(3k + -4) Reorder the terms: 9 = 4(-4 + 3k) 9 = (-4 * 4 + 3k * 4) 9 = (-16 + 12k) Solving 9 = -16 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 9 + -12k = -16 + 12k + -12k Combine like terms: 12k + -12k = 0 9 + -12k = -16 + 0 9 + -12k = -16 Add '-9' to each side of the equation. 9 + -9 + -12k = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -12k = -16 + -9 -12k = -16 + -9 Combine like terms: -16 + -9 = -25 -12k = -25 Divide each side by '-12'. k = 2.083333333 Simplifying k = 2.083333333
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