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Simplifying 3(4k + -1) + 2(5 + -3k) = 7 Reorder the terms: 3(-1 + 4k) + 2(5 + -3k) = 7 (-1 * 3 + 4k * 3) + 2(5 + -3k) = 7 (-3 + 12k) + 2(5 + -3k) = 7 -3 + 12k + (5 * 2 + -3k * 2) = 7 -3 + 12k + (10 + -6k) = 7 Reorder the terms: -3 + 10 + 12k + -6k = 7 Combine like terms: -3 + 10 = 7 7 + 12k + -6k = 7 Combine like terms: 12k + -6k = 6k 7 + 6k = 7 Add '-7' to each side of the equation. 7 + -7 + 6k = 7 + -7 Combine like terms: 7 + -7 = 0 0 + 6k = 7 + -7 6k = 7 + -7 Combine like terms: 7 + -7 = 0 6k = 0 Solving 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '6'. k = 0 Simplifying k = 0
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