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Simplifying 59 = 4k + -7 + 3 + 5k Reorder the terms: 59 = -7 + 3 + 4k + 5k Combine like terms: -7 + 3 = -4 59 = -4 + 4k + 5k Combine like terms: 4k + 5k = 9k 59 = -4 + 9k Solving 59 = -4 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 59 + -9k = -4 + 9k + -9k Combine like terms: 9k + -9k = 0 59 + -9k = -4 + 0 59 + -9k = -4 Add '-59' to each side of the equation. 59 + -59 + -9k = -4 + -59 Combine like terms: 59 + -59 = 0 0 + -9k = -4 + -59 -9k = -4 + -59 Combine like terms: -4 + -59 = -63 -9k = -63 Divide each side by '-9'. k = 7 Simplifying k = 7
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