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Simplifying (2k + 5) * 2 = 3(2k + 5) + 10 Reorder the terms: (5 + 2k) * 2 = 3(2k + 5) + 10 Reorder the terms for easier multiplication: 2(5 + 2k) = 3(2k + 5) + 10 (5 * 2 + 2k * 2) = 3(2k + 5) + 10 (10 + 4k) = 3(2k + 5) + 10 Reorder the terms: 10 + 4k = 3(5 + 2k) + 10 10 + 4k = (5 * 3 + 2k * 3) + 10 10 + 4k = (15 + 6k) + 10 Reorder the terms: 10 + 4k = 15 + 10 + 6k Combine like terms: 15 + 10 = 25 10 + 4k = 25 + 6k Solving 10 + 4k = 25 + 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. 10 + 4k + -6k = 25 + 6k + -6k Combine like terms: 4k + -6k = -2k 10 + -2k = 25 + 6k + -6k Combine like terms: 6k + -6k = 0 10 + -2k = 25 + 0 10 + -2k = 25 Add '-10' to each side of the equation. 10 + -10 + -2k = 25 + -10 Combine like terms: 10 + -10 = 0 0 + -2k = 25 + -10 -2k = 25 + -10 Combine like terms: 25 + -10 = 15 -2k = 15 Divide each side by '-2'. k = -7.5 Simplifying k = -7.5
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