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Simplifying -5(-4k + 16) = 10 + 15k Reorder the terms: -5(16 + -4k) = 10 + 15k (16 * -5 + -4k * -5) = 10 + 15k (-80 + 20k) = 10 + 15k Solving -80 + 20k = 10 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -80 + 20k + -15k = 10 + 15k + -15k Combine like terms: 20k + -15k = 5k -80 + 5k = 10 + 15k + -15k Combine like terms: 15k + -15k = 0 -80 + 5k = 10 + 0 -80 + 5k = 10 Add '80' to each side of the equation. -80 + 80 + 5k = 10 + 80 Combine like terms: -80 + 80 = 0 0 + 5k = 10 + 80 5k = 10 + 80 Combine like terms: 10 + 80 = 90 5k = 90 Divide each side by '5'. k = 18 Simplifying k = 18
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