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Simplifying 2 + k = 3(3k + -2) Reorder the terms: 2 + k = 3(-2 + 3k) 2 + k = (-2 * 3 + 3k * 3) 2 + k = (-6 + 9k) Solving 2 + k = -6 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 2 + k + -9k = -6 + 9k + -9k Combine like terms: k + -9k = -8k 2 + -8k = -6 + 9k + -9k Combine like terms: 9k + -9k = 0 2 + -8k = -6 + 0 2 + -8k = -6 Add '-2' to each side of the equation. 2 + -2 + -8k = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -8k = -6 + -2 -8k = -6 + -2 Combine like terms: -6 + -2 = -8 -8k = -8 Divide each side by '-8'. k = 1 Simplifying k = 1
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