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Simplifying 10 = 2(k + 1) Reorder the terms: 10 = 2(1 + k) 10 = (1 * 2 + k * 2) 10 = (2 + 2k) Solving 10 = 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. 10 + -2k = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 10 + -2k = 2 + 0 10 + -2k = 2 Add '-10' to each side of the equation. 10 + -10 + -2k = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2k = 2 + -10 -2k = 2 + -10 Combine like terms: 2 + -10 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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