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Simplifying 13 = 5k + -2 Reorder the terms: 13 = -2 + 5k Solving 13 = -2 + 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. 13 + -5k = -2 + 5k + -5k Combine like terms: 5k + -5k = 0 13 + -5k = -2 + 0 13 + -5k = -2 Add '-13' to each side of the equation. 13 + -13 + -5k = -2 + -13 Combine like terms: 13 + -13 = 0 0 + -5k = -2 + -13 -5k = -2 + -13 Combine like terms: -2 + -13 = -15 -5k = -15 Divide each side by '-5'. k = 3 Simplifying k = 3
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