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Simplifying 7k + 7k = -5(8k + -6) + -6(k + 5) Combine like terms: 7k + 7k = 14k 14k = -5(8k + -6) + -6(k + 5) Reorder the terms: 14k = -5(-6 + 8k) + -6(k + 5) 14k = (-6 * -5 + 8k * -5) + -6(k + 5) 14k = (30 + -40k) + -6(k + 5) Reorder the terms: 14k = 30 + -40k + -6(5 + k) 14k = 30 + -40k + (5 * -6 + k * -6) 14k = 30 + -40k + (-30 + -6k) Reorder the terms: 14k = 30 + -30 + -40k + -6k Combine like terms: 30 + -30 = 0 14k = 0 + -40k + -6k 14k = -40k + -6k Combine like terms: -40k + -6k = -46k 14k = -46k Solving 14k = -46k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '46k' to each side of the equation. 14k + 46k = -46k + 46k Combine like terms: 14k + 46k = 60k 60k = -46k + 46k Combine like terms: -46k + 46k = 0 60k = 0 Divide each side by '60'. k = 0.0 Simplifying k = 0.0
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