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Simplifying 2(k + -3) + 3 = 12 Reorder the terms: 2(-3 + k) + 3 = 12 (-3 * 2 + k * 2) + 3 = 12 (-6 + 2k) + 3 = 12 Reorder the terms: -6 + 3 + 2k = 12 Combine like terms: -6 + 3 = -3 -3 + 2k = 12 Solving -3 + 2k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2k = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 2k = 12 + 3 2k = 12 + 3 Combine like terms: 12 + 3 = 15 2k = 15 Divide each side by '2'. k = 7.5 Simplifying k = 7.5
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