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Simplifying 3(5 + -1k) + -4(2 + -1k) = 9 (5 * 3 + -1k * 3) + -4(2 + -1k) = 9 (15 + -3k) + -4(2 + -1k) = 9 15 + -3k + (2 * -4 + -1k * -4) = 9 15 + -3k + (-8 + 4k) = 9 Reorder the terms: 15 + -8 + -3k + 4k = 9 Combine like terms: 15 + -8 = 7 7 + -3k + 4k = 9 Combine like terms: -3k + 4k = 1k 7 + 1k = 9 Solving 7 + 1k = 9 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1k = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 1k = 9 + -7 1k = 9 + -7 Combine like terms: 9 + -7 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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