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Simplifying 5(-7k + 1) + -8(k + -7) = -25 Reorder the terms: 5(1 + -7k) + -8(k + -7) = -25 (1 * 5 + -7k * 5) + -8(k + -7) = -25 (5 + -35k) + -8(k + -7) = -25 Reorder the terms: 5 + -35k + -8(-7 + k) = -25 5 + -35k + (-7 * -8 + k * -8) = -25 5 + -35k + (56 + -8k) = -25 Reorder the terms: 5 + 56 + -35k + -8k = -25 Combine like terms: 5 + 56 = 61 61 + -35k + -8k = -25 Combine like terms: -35k + -8k = -43k 61 + -43k = -25 Solving 61 + -43k = -25 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + -43k = -25 + -61 Combine like terms: 61 + -61 = 0 0 + -43k = -25 + -61 -43k = -25 + -61 Combine like terms: -25 + -61 = -86 -43k = -86 Divide each side by '-43'. k = 2 Simplifying k = 2
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