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