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Simplifying 7(k + -6) + -8(1 + -7k) = 76 Reorder the terms: 7(-6 + k) + -8(1 + -7k) = 76 (-6 * 7 + k * 7) + -8(1 + -7k) = 76 (-42 + 7k) + -8(1 + -7k) = 76 -42 + 7k + (1 * -8 + -7k * -8) = 76 -42 + 7k + (-8 + 56k) = 76 Reorder the terms: -42 + -8 + 7k + 56k = 76 Combine like terms: -42 + -8 = -50 -50 + 7k + 56k = 76 Combine like terms: 7k + 56k = 63k -50 + 63k = 76 Solving -50 + 63k = 76 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 63k = 76 + 50 Combine like terms: -50 + 50 = 0 0 + 63k = 76 + 50 63k = 76 + 50 Combine like terms: 76 + 50 = 126 63k = 126 Divide each side by '63'. k = 2 Simplifying k = 2
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