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Simplifying 8(8 + 5k) + 5(k + -10) = 0 (8 * 8 + 5k * 8) + 5(k + -10) = 0 (64 + 40k) + 5(k + -10) = 0 Reorder the terms: 64 + 40k + 5(-10 + k) = 0 64 + 40k + (-10 * 5 + k * 5) = 0 64 + 40k + (-50 + 5k) = 0 Reorder the terms: 64 + -50 + 40k + 5k = 0 Combine like terms: 64 + -50 = 14 14 + 40k + 5k = 0 Combine like terms: 40k + 5k = 45k 14 + 45k = 0 Solving 14 + 45k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 45k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 45k = 0 + -14 45k = 0 + -14 Combine like terms: 0 + -14 = -14 45k = -14 Divide each side by '45'. k = -0.3111111111 Simplifying k = -0.3111111111
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