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Simplifying 6(k + 3) * 2 = (4k + 5) Reorder the terms: 6(3 + k) * 2 = (4k + 5) Reorder the terms for easier multiplication: 6 * 2(3 + k) = (4k + 5) Multiply 6 * 2 12(3 + k) = (4k + 5) (3 * 12 + k * 12) = (4k + 5) (36 + 12k) = (4k + 5) Reorder the terms: 36 + 12k = (5 + 4k) Remove parenthesis around (5 + 4k) 36 + 12k = 5 + 4k Solving 36 + 12k = 5 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 36 + 12k + -4k = 5 + 4k + -4k Combine like terms: 12k + -4k = 8k 36 + 8k = 5 + 4k + -4k Combine like terms: 4k + -4k = 0 36 + 8k = 5 + 0 36 + 8k = 5 Add '-36' to each side of the equation. 36 + -36 + 8k = 5 + -36 Combine like terms: 36 + -36 = 0 0 + 8k = 5 + -36 8k = 5 + -36 Combine like terms: 5 + -36 = -31 8k = -31 Divide each side by '8'. k = -3.875 Simplifying k = -3.875
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