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Simplifying 9 + -1(2k + -3) = 1k Reorder the terms: 9 + -1(-3 + 2k) = 1k 9 + (-3 * -1 + 2k * -1) = 1k 9 + (3 + -2k) = 1k Combine like terms: 9 + 3 = 12 12 + -2k = 1k Solving 12 + -2k = 1k 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. 12 + -2k + -1k = 1k + -1k Combine like terms: -2k + -1k = -3k 12 + -3k = 1k + -1k Combine like terms: 1k + -1k = 0 12 + -3k = 0 Add '-12' to each side of the equation. 12 + -12 + -3k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3k = 0 + -12 -3k = 0 + -12 Combine like terms: 0 + -12 = -12 -3k = -12 Divide each side by '-3'. k = 4 Simplifying k = 4
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