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Simplifying 4 + -1k + 3 = 2(3 + -2k) Reorder the terms: 4 + 3 + -1k = 2(3 + -2k) Combine like terms: 4 + 3 = 7 7 + -1k = 2(3 + -2k) 7 + -1k = (3 * 2 + -2k * 2) 7 + -1k = (6 + -4k) Solving 7 + -1k = 6 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 7 + -1k + 4k = 6 + -4k + 4k Combine like terms: -1k + 4k = 3k 7 + 3k = 6 + -4k + 4k Combine like terms: -4k + 4k = 0 7 + 3k = 6 + 0 7 + 3k = 6 Add '-7' to each side of the equation. 7 + -7 + 3k = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 3k = 6 + -7 3k = 6 + -7 Combine like terms: 6 + -7 = -1 3k = -1 Divide each side by '3'. k = -0.3333333333 Simplifying k = -0.3333333333
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