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Simplifying 12 = 2(k + 1) Reorder the terms: 12 = 2(1 + k) 12 = (1 * 2 + k * 2) 12 = (2 + 2k) Solving 12 = 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 + -2k = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + -2k = 2 + 0 12 + -2k = 2 Add '-12' to each side of the equation. 12 + -12 + -2k = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2k = 2 + -12 -2k = 2 + -12 Combine like terms: 2 + -12 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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