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Simplifying 6k + 9 = 3(k + -7) Reorder the terms: 9 + 6k = 3(k + -7) Reorder the terms: 9 + 6k = 3(-7 + k) 9 + 6k = (-7 * 3 + k * 3) 9 + 6k = (-21 + 3k) Solving 9 + 6k = -21 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 9 + 6k + -3k = -21 + 3k + -3k Combine like terms: 6k + -3k = 3k 9 + 3k = -21 + 3k + -3k Combine like terms: 3k + -3k = 0 9 + 3k = -21 + 0 9 + 3k = -21 Add '-9' to each side of the equation. 9 + -9 + 3k = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 3k = -21 + -9 3k = -21 + -9 Combine like terms: -21 + -9 = -30 3k = -30 Divide each side by '3'. k = -10 Simplifying k = -10
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