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Simplifying 5 = 5(k + 9) + 5 Reorder the terms: 5 = 5(9 + k) + 5 5 = (9 * 5 + k * 5) + 5 5 = (45 + 5k) + 5 Reorder the terms: 5 = 45 + 5 + 5k Combine like terms: 45 + 5 = 50 5 = 50 + 5k Solving 5 = 50 + 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. 5 + -5k = 50 + 5k + -5k Combine like terms: 5k + -5k = 0 5 + -5k = 50 + 0 5 + -5k = 50 Add '-5' to each side of the equation. 5 + -5 + -5k = 50 + -5 Combine like terms: 5 + -5 = 0 0 + -5k = 50 + -5 -5k = 50 + -5 Combine like terms: 50 + -5 = 45 -5k = 45 Divide each side by '-5'. k = -9 Simplifying k = -9
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