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Simplifying 45 = 8k + 13 Reorder the terms: 45 = 13 + 8k Solving 45 = 13 + 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. 45 + -8k = 13 + 8k + -8k Combine like terms: 8k + -8k = 0 45 + -8k = 13 + 0 45 + -8k = 13 Add '-45' to each side of the equation. 45 + -45 + -8k = 13 + -45 Combine like terms: 45 + -45 = 0 0 + -8k = 13 + -45 -8k = 13 + -45 Combine like terms: 13 + -45 = -32 -8k = -32 Divide each side by '-8'. k = 4 Simplifying k = 4
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