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Simplifying k + 9 = 6(k + -1) Reorder the terms: 9 + k = 6(k + -1) Reorder the terms: 9 + k = 6(-1 + k) 9 + k = (-1 * 6 + k * 6) 9 + k = (-6 + 6k) Solving 9 + k = -6 + 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 + k + -6k = -6 + 6k + -6k Combine like terms: k + -6k = -5k 9 + -5k = -6 + 6k + -6k Combine like terms: 6k + -6k = 0 9 + -5k = -6 + 0 9 + -5k = -6 Add '-9' to each side of the equation. 9 + -9 + -5k = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -5k = -6 + -9 -5k = -6 + -9 Combine like terms: -6 + -9 = -15 -5k = -15 Divide each side by '-5'. k = 3 Simplifying k = 3
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