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