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Simplifying 34 + -4k = 6k + -4(-1 + -5k) 34 + -4k = 6k + (-1 * -4 + -5k * -4) 34 + -4k = 6k + (4 + 20k) Reorder the terms: 34 + -4k = 4 + 6k + 20k Combine like terms: 6k + 20k = 26k 34 + -4k = 4 + 26k Solving 34 + -4k = 4 + 26k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-26k' to each side of the equation. 34 + -4k + -26k = 4 + 26k + -26k Combine like terms: -4k + -26k = -30k 34 + -30k = 4 + 26k + -26k Combine like terms: 26k + -26k = 0 34 + -30k = 4 + 0 34 + -30k = 4 Add '-34' to each side of the equation. 34 + -34 + -30k = 4 + -34 Combine like terms: 34 + -34 = 0 0 + -30k = 4 + -34 -30k = 4 + -34 Combine like terms: 4 + -34 = -30 -30k = -30 Divide each side by '-30'. k = 1 Simplifying k = 1
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