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Simplifying k + -9 + 5k = 3(k + 1) Reorder the terms: -9 + k + 5k = 3(k + 1) Combine like terms: k + 5k = 6k -9 + 6k = 3(k + 1) Reorder the terms: -9 + 6k = 3(1 + k) -9 + 6k = (1 * 3 + k * 3) -9 + 6k = (3 + 3k) Solving -9 + 6k = 3 + 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 = 3 + 3k + -3k Combine like terms: 6k + -3k = 3k -9 + 3k = 3 + 3k + -3k Combine like terms: 3k + -3k = 0 -9 + 3k = 3 + 0 -9 + 3k = 3 Add '9' to each side of the equation. -9 + 9 + 3k = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 3k = 3 + 9 3k = 3 + 9 Combine like terms: 3 + 9 = 12 3k = 12 Divide each side by '3'. k = 4 Simplifying k = 4
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