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Simplifying 38 = 8k + 6 Reorder the terms: 38 = 6 + 8k Solving 38 = 6 + 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. 38 + -8k = 6 + 8k + -8k Combine like terms: 8k + -8k = 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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