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Simplifying 14 + 6k = -3 + -5(4k + 7) Reorder the terms: 14 + 6k = -3 + -5(7 + 4k) 14 + 6k = -3 + (7 * -5 + 4k * -5) 14 + 6k = -3 + (-35 + -20k) Combine like terms: -3 + -35 = -38 14 + 6k = -38 + -20k Solving 14 + 6k = -38 + -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 = -38 + -20k + 20k Combine like terms: 6k + 20k = 26k 14 + 26k = -38 + -20k + 20k Combine like terms: -20k + 20k = 0 14 + 26k = -38 + 0 14 + 26k = -38 Add '-14' to each side of the equation. 14 + -14 + 26k = -38 + -14 Combine like terms: 14 + -14 = 0 0 + 26k = -38 + -14 26k = -38 + -14 Combine like terms: -38 + -14 = -52 26k = -52 Divide each side by '26'. k = -2 Simplifying k = -2
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