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Simplifying k + 9 = 6(k + -7) Reorder the terms: 9 + k = 6(k + -7) Reorder the terms: 9 + k = 6(-7 + k) 9 + k = (-7 * 6 + k * 6) 9 + k = (-42 + 6k) Solving 9 + k = -42 + 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 = -42 + 6k + -6k Combine like terms: k + -6k = -5k 9 + -5k = -42 + 6k + -6k Combine like terms: 6k + -6k = 0 9 + -5k = -42 + 0 9 + -5k = -42 Add '-9' to each side of the equation. 9 + -9 + -5k = -42 + -9 Combine like terms: 9 + -9 = 0 0 + -5k = -42 + -9 -5k = -42 + -9 Combine like terms: -42 + -9 = -51 -5k = -51 Divide each side by '-5'. k = 10.2 Simplifying k = 10.2
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