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Simplifying 38 + 8k = 2(8k + 3) Reorder the terms: 38 + 8k = 2(3 + 8k) 38 + 8k = (3 * 2 + 8k * 2) 38 + 8k = (6 + 16k) Solving 38 + 8k = 6 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 38 + 8k + -16k = 6 + 16k + -16k Combine like terms: 8k + -16k = -8k 38 + -8k = 6 + 16k + -16k Combine like terms: 16k + -16k = 0 38 + -8k = 6 + 0 38 + -8k = 6 Add '-38' to each side of the equation. 38 + -38 + -8k = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -8k = 6 + -38 -8k = 6 + -38 Combine like terms: 6 + -38 = -32 -8k = -32 Divide each side by '-8'. k = 4 Simplifying k = 4
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