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Simplifying 15 + 5k = 5(6k + -7) Reorder the terms: 15 + 5k = 5(-7 + 6k) 15 + 5k = (-7 * 5 + 6k * 5) 15 + 5k = (-35 + 30k) Solving 15 + 5k = -35 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 15 + 5k + -30k = -35 + 30k + -30k Combine like terms: 5k + -30k = -25k 15 + -25k = -35 + 30k + -30k Combine like terms: 30k + -30k = 0 15 + -25k = -35 + 0 15 + -25k = -35 Add '-15' to each side of the equation. 15 + -15 + -25k = -35 + -15 Combine like terms: 15 + -15 = 0 0 + -25k = -35 + -15 -25k = -35 + -15 Combine like terms: -35 + -15 = -50 -25k = -50 Divide each side by '-25'. k = 2 Simplifying k = 2
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