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Simplifying 12 + -3k = 2(1 + k) 12 + -3k = (1 * 2 + k * 2) 12 + -3k = (2 + 2k) Solving 12 + -3k = 2 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 12 + -3k + -2k = 2 + 2k + -2k Combine like terms: -3k + -2k = -5k 12 + -5k = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + -5k = 2 + 0 12 + -5k = 2 Add '-12' to each side of the equation. 12 + -12 + -5k = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -5k = 2 + -12 -5k = 2 + -12 Combine like terms: 2 + -12 = -10 -5k = -10 Divide each side by '-5'. k = 2 Simplifying k = 2
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