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Simplifying -7k + -6(1 + 5k) = -80 -7k + (1 * -6 + 5k * -6) = -80 -7k + (-6 + -30k) = -80 Reorder the terms: -6 + -7k + -30k = -80 Combine like terms: -7k + -30k = -37k -6 + -37k = -80 Solving -6 + -37k = -80 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -37k = -80 + 6 Combine like terms: -6 + 6 = 0 0 + -37k = -80 + 6 -37k = -80 + 6 Combine like terms: -80 + 6 = -74 -37k = -74 Divide each side by '-37'. k = 2 Simplifying k = 2
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