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Simplifying 8 + -1(4k + -7) = 5k + 6 + -2 Reorder the terms: 8 + -1(-7 + 4k) = 5k + 6 + -2 8 + (-7 * -1 + 4k * -1) = 5k + 6 + -2 8 + (7 + -4k) = 5k + 6 + -2 Combine like terms: 8 + 7 = 15 15 + -4k = 5k + 6 + -2 Reorder the terms: 15 + -4k = 6 + -2 + 5k Combine like terms: 6 + -2 = 4 15 + -4k = 4 + 5k Solving 15 + -4k = 4 + 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. 15 + -4k + -5k = 4 + 5k + -5k Combine like terms: -4k + -5k = -9k 15 + -9k = 4 + 5k + -5k Combine like terms: 5k + -5k = 0 15 + -9k = 4 + 0 15 + -9k = 4 Add '-15' to each side of the equation. 15 + -15 + -9k = 4 + -15 Combine like terms: 15 + -15 = 0 0 + -9k = 4 + -15 -9k = 4 + -15 Combine like terms: 4 + -15 = -11 -9k = -11 Divide each side by '-9'. k = 1.222222222 Simplifying k = 1.222222222
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