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Simplifying 3(k + -2) + -2k = -3 + 9 Reorder the terms: 3(-2 + k) + -2k = -3 + 9 (-2 * 3 + k * 3) + -2k = -3 + 9 (-6 + 3k) + -2k = -3 + 9 Combine like terms: 3k + -2k = 1k -6 + 1k = -3 + 9 Combine like terms: -3 + 9 = 6 -6 + 1k = 6 Solving -6 + 1k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1k = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1k = 6 + 6 1k = 6 + 6 Combine like terms: 6 + 6 = 12 1k = 12 Divide each side by '1'. k = 12 Simplifying k = 12
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