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Simplifying 5(14 + 4k) = -5(-5k + -10) (14 * 5 + 4k * 5) = -5(-5k + -10) (70 + 20k) = -5(-5k + -10) Reorder the terms: 70 + 20k = -5(-10 + -5k) 70 + 20k = (-10 * -5 + -5k * -5) 70 + 20k = (50 + 25k) Solving 70 + 20k = 50 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. 70 + 20k + -25k = 50 + 25k + -25k Combine like terms: 20k + -25k = -5k 70 + -5k = 50 + 25k + -25k Combine like terms: 25k + -25k = 0 70 + -5k = 50 + 0 70 + -5k = 50 Add '-70' to each side of the equation. 70 + -70 + -5k = 50 + -70 Combine like terms: 70 + -70 = 0 0 + -5k = 50 + -70 -5k = 50 + -70 Combine like terms: 50 + -70 = -20 -5k = -20 Divide each side by '-5'. k = 4 Simplifying k = 4
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