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Simplifying 2(5k + 5) + -3(k + 6) = 0 Reorder the terms: 2(5 + 5k) + -3(k + 6) = 0 (5 * 2 + 5k * 2) + -3(k + 6) = 0 (10 + 10k) + -3(k + 6) = 0 Reorder the terms: 10 + 10k + -3(6 + k) = 0 10 + 10k + (6 * -3 + k * -3) = 0 10 + 10k + (-18 + -3k) = 0 Reorder the terms: 10 + -18 + 10k + -3k = 0 Combine like terms: 10 + -18 = -8 -8 + 10k + -3k = 0 Combine like terms: 10k + -3k = 7k -8 + 7k = 0 Solving -8 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7k = 0 + 8 7k = 0 + 8 Combine like terms: 0 + 8 = 8 7k = 8 Divide each side by '7'. k = 1.142857143 Simplifying k = 1.142857143
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