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Simplifying 14 + -6k = 4(5k + -3) Reorder the terms: 14 + -6k = 4(-3 + 5k) 14 + -6k = (-3 * 4 + 5k * 4) 14 + -6k = (-12 + 20k) Solving 14 + -6k = -12 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 14 + -6k + -20k = -12 + 20k + -20k Combine like terms: -6k + -20k = -26k 14 + -26k = -12 + 20k + -20k Combine like terms: 20k + -20k = 0 14 + -26k = -12 + 0 14 + -26k = -12 Add '-14' to each side of the equation. 14 + -14 + -26k = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -26k = -12 + -14 -26k = -12 + -14 Combine like terms: -12 + -14 = -26 -26k = -26 Divide each side by '-26'. k = 1 Simplifying k = 1
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