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Simplifying 45 = 5k + -20 Reorder the terms: 45 = -20 + 5k Solving 45 = -20 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 45 + -5k = -20 + 5k + -5k Combine like terms: 5k + -5k = 0 45 + -5k = -20 + 0 45 + -5k = -20 Add '-45' to each side of the equation. 45 + -45 + -5k = -20 + -45 Combine like terms: 45 + -45 = 0 0 + -5k = -20 + -45 -5k = -20 + -45 Combine like terms: -20 + -45 = -65 -5k = -65 Divide each side by '-5'. k = 13 Simplifying k = 13
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