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Simplifying 59 + 2k = -1 + 10(12k + 6) Reorder the terms: 59 + 2k = -1 + 10(6 + 12k) 59 + 2k = -1 + (6 * 10 + 12k * 10) 59 + 2k = -1 + (60 + 120k) Combine like terms: -1 + 60 = 59 59 + 2k = 59 + 120k Add '-59' to each side of the equation. 59 + -59 + 2k = 59 + -59 + 120k Combine like terms: 59 + -59 = 0 0 + 2k = 59 + -59 + 120k 2k = 59 + -59 + 120k Combine like terms: 59 + -59 = 0 2k = 0 + 120k 2k = 120k Solving 2k = 120k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-120k' to each side of the equation. 2k + -120k = 120k + -120k Combine like terms: 2k + -120k = -118k -118k = 120k + -120k Combine like terms: 120k + -120k = 0 -118k = 0 Divide each side by '-118'. k = 0 Simplifying k = 0
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