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Simplifying 55 = 2k + 2(2k + 20) + -5 Reorder the terms: 55 = 2k + 2(20 + 2k) + -5 55 = 2k + (20 * 2 + 2k * 2) + -5 55 = 2k + (40 + 4k) + -5 Reorder the terms: 55 = 40 + -5 + 2k + 4k Combine like terms: 40 + -5 = 35 55 = 35 + 2k + 4k Combine like terms: 2k + 4k = 6k 55 = 35 + 6k Solving 55 = 35 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 55 + -6k = 35 + 6k + -6k Combine like terms: 6k + -6k = 0 55 + -6k = 35 + 0 55 + -6k = 35 Add '-55' to each side of the equation. 55 + -55 + -6k = 35 + -55 Combine like terms: 55 + -55 = 0 0 + -6k = 35 + -55 -6k = 35 + -55 Combine like terms: 35 + -55 = -20 -6k = -20 Divide each side by '-6'. k = 3.333333333 Simplifying k = 3.333333333
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