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Simplifying -4(k + -3) + -1(3 + 4k) = 9k Reorder the terms: -4(-3 + k) + -1(3 + 4k) = 9k (-3 * -4 + k * -4) + -1(3 + 4k) = 9k (12 + -4k) + -1(3 + 4k) = 9k 12 + -4k + (3 * -1 + 4k * -1) = 9k 12 + -4k + (-3 + -4k) = 9k Reorder the terms: 12 + -3 + -4k + -4k = 9k Combine like terms: 12 + -3 = 9 9 + -4k + -4k = 9k Combine like terms: -4k + -4k = -8k 9 + -8k = 9k Solving 9 + -8k = 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. 9 + -8k + -9k = 9k + -9k Combine like terms: -8k + -9k = -17k 9 + -17k = 9k + -9k Combine like terms: 9k + -9k = 0 9 + -17k = 0 Add '-9' to each side of the equation. 9 + -9 + -17k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -17k = 0 + -9 -17k = 0 + -9 Combine like terms: 0 + -9 = -9 -17k = -9 Divide each side by '-17'. k = 0.5294117647 Simplifying k = 0.5294117647
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