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Simplifying 7(7k + 8k) + 3(k + 5) = 0 Combine like terms: 7k + 8k = 15k 7(15k) + 3(k + 5) = 0 Remove parenthesis around (15k) 7 * 15k + 3(k + 5) = 0 Multiply 7 * 15 105k + 3(k + 5) = 0 Reorder the terms: 105k + 3(5 + k) = 0 105k + (5 * 3 + k * 3) = 0 105k + (15 + 3k) = 0 Reorder the terms: 15 + 105k + 3k = 0 Combine like terms: 105k + 3k = 108k 15 + 108k = 0 Solving 15 + 108k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 108k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 108k = 0 + -15 108k = 0 + -15 Combine like terms: 0 + -15 = -15 108k = -15 Divide each side by '108'. k = -0.1388888889 Simplifying k = -0.1388888889
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