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Simplifying 8(k + -6) + -1(7k + -6) = 2 Reorder the terms: 8(-6 + k) + -1(7k + -6) = 2 (-6 * 8 + k * 8) + -1(7k + -6) = 2 (-48 + 8k) + -1(7k + -6) = 2 Reorder the terms: -48 + 8k + -1(-6 + 7k) = 2 -48 + 8k + (-6 * -1 + 7k * -1) = 2 -48 + 8k + (6 + -7k) = 2 Reorder the terms: -48 + 6 + 8k + -7k = 2 Combine like terms: -48 + 6 = -42 -42 + 8k + -7k = 2 Combine like terms: 8k + -7k = 1k -42 + 1k = 2 Solving -42 + 1k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 1k = 2 + 42 Combine like terms: -42 + 42 = 0 0 + 1k = 2 + 42 1k = 2 + 42 Combine like terms: 2 + 42 = 44 1k = 44 Divide each side by '1'. k = 44 Simplifying k = 44
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