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Simplifying 8k + 7(k + -5) = -5k + 5 Reorder the terms: 8k + 7(-5 + k) = -5k + 5 8k + (-5 * 7 + k * 7) = -5k + 5 8k + (-35 + 7k) = -5k + 5 Reorder the terms: -35 + 8k + 7k = -5k + 5 Combine like terms: 8k + 7k = 15k -35 + 15k = -5k + 5 Reorder the terms: -35 + 15k = 5 + -5k Solving -35 + 15k = 5 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -35 + 15k + 5k = 5 + -5k + 5k Combine like terms: 15k + 5k = 20k -35 + 20k = 5 + -5k + 5k Combine like terms: -5k + 5k = 0 -35 + 20k = 5 + 0 -35 + 20k = 5 Add '35' to each side of the equation. -35 + 35 + 20k = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 20k = 5 + 35 20k = 5 + 35 Combine like terms: 5 + 35 = 40 20k = 40 Divide each side by '20'. k = 2 Simplifying k = 2
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