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Simplifying 7(k + -7) + -1(6k + -1) = -8 Reorder the terms: 7(-7 + k) + -1(6k + -1) = -8 (-7 * 7 + k * 7) + -1(6k + -1) = -8 (-49 + 7k) + -1(6k + -1) = -8 Reorder the terms: -49 + 7k + -1(-1 + 6k) = -8 -49 + 7k + (-1 * -1 + 6k * -1) = -8 -49 + 7k + (1 + -6k) = -8 Reorder the terms: -49 + 1 + 7k + -6k = -8 Combine like terms: -49 + 1 = -48 -48 + 7k + -6k = -8 Combine like terms: 7k + -6k = 1k -48 + 1k = -8 Solving -48 + 1k = -8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 1k = -8 + 48 Combine like terms: -48 + 48 = 0 0 + 1k = -8 + 48 1k = -8 + 48 Combine like terms: -8 + 48 = 40 1k = 40 Divide each side by '1'. k = 40 Simplifying k = 40
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