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Simplifying 200 = 2(k + 25) + 16 Reorder the terms: 200 = 2(25 + k) + 16 200 = (25 * 2 + k * 2) + 16 200 = (50 + 2k) + 16 Reorder the terms: 200 = 50 + 16 + 2k Combine like terms: 50 + 16 = 66 200 = 66 + 2k Solving 200 = 66 + 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. 200 + -2k = 66 + 2k + -2k Combine like terms: 2k + -2k = 0 200 + -2k = 66 + 0 200 + -2k = 66 Add '-200' to each side of the equation. 200 + -200 + -2k = 66 + -200 Combine like terms: 200 + -200 = 0 0 + -2k = 66 + -200 -2k = 66 + -200 Combine like terms: 66 + -200 = -134 -2k = -134 Divide each side by '-2'. k = 67 Simplifying k = 67
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