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Simplifying 9 + -5k = 12 + -1(6k + 7) Reorder the terms: 9 + -5k = 12 + -1(7 + 6k) 9 + -5k = 12 + (7 * -1 + 6k * -1) 9 + -5k = 12 + (-7 + -6k) Combine like terms: 12 + -7 = 5 9 + -5k = 5 + -6k Solving 9 + -5k = 5 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 9 + -5k + 6k = 5 + -6k + 6k Combine like terms: -5k + 6k = 1k 9 + 1k = 5 + -6k + 6k Combine like terms: -6k + 6k = 0 9 + 1k = 5 + 0 9 + 1k = 5 Add '-9' to each side of the equation. 9 + -9 + 1k = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1k = 5 + -9 1k = 5 + -9 Combine like terms: 5 + -9 = -4 1k = -4 Divide each side by '1'. k = -4 Simplifying k = -4
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