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Simplifying 6k + 15 = 4(2k + 1) Reorder the terms: 15 + 6k = 4(2k + 1) Reorder the terms: 15 + 6k = 4(1 + 2k) 15 + 6k = (1 * 4 + 2k * 4) 15 + 6k = (4 + 8k) Solving 15 + 6k = 4 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 15 + 6k + -8k = 4 + 8k + -8k Combine like terms: 6k + -8k = -2k 15 + -2k = 4 + 8k + -8k Combine like terms: 8k + -8k = 0 15 + -2k = 4 + 0 15 + -2k = 4 Add '-15' to each side of the equation. 15 + -15 + -2k = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -2k = 4 + -15 -2k = 4 + -15 Combine like terms: 4 + -15 = -11 -2k = -11 Divide each side by '-2'. k = 5.5 Simplifying k = 5.5
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