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Simplifying -3(3k + -1) + -2(4k + -7) = 0 Reorder the terms: -3(-1 + 3k) + -2(4k + -7) = 0 (-1 * -3 + 3k * -3) + -2(4k + -7) = 0 (3 + -9k) + -2(4k + -7) = 0 Reorder the terms: 3 + -9k + -2(-7 + 4k) = 0 3 + -9k + (-7 * -2 + 4k * -2) = 0 3 + -9k + (14 + -8k) = 0 Reorder the terms: 3 + 14 + -9k + -8k = 0 Combine like terms: 3 + 14 = 17 17 + -9k + -8k = 0 Combine like terms: -9k + -8k = -17k 17 + -17k = 0 Solving 17 + -17k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -17k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -17k = 0 + -17 -17k = 0 + -17 Combine like terms: 0 + -17 = -17 -17k = -17 Divide each side by '-17'. k = 1 Simplifying k = 1
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