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Simplifying 9 + -1(2k + 3) = k Reorder the terms: 9 + -1(3 + 2k) = k 9 + (3 * -1 + 2k * -1) = k 9 + (-3 + -2k) = k Combine like terms: 9 + -3 = 6 6 + -2k = k Solving 6 + -2k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 6 + -2k + -1k = k + -1k Combine like terms: -2k + -1k = -3k 6 + -3k = k + -1k Combine like terms: k + -1k = 0 6 + -3k = 0 Add '-6' to each side of the equation. 6 + -6 + -3k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3k = 0 + -6 -3k = 0 + -6 Combine like terms: 0 + -6 = -6 -3k = -6 Divide each side by '-3'. k = 2 Simplifying k = 2
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