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Simplifying (8k + -3) + -1(64k + -5) = 0 Reorder the terms: (-3 + 8k) + -1(64k + -5) = 0 Remove parenthesis around (-3 + 8k) -3 + 8k + -1(64k + -5) = 0 Reorder the terms: -3 + 8k + -1(-5 + 64k) = 0 -3 + 8k + (-5 * -1 + 64k * -1) = 0 -3 + 8k + (5 + -64k) = 0 Reorder the terms: -3 + 5 + 8k + -64k = 0 Combine like terms: -3 + 5 = 2 2 + 8k + -64k = 0 Combine like terms: 8k + -64k = -56k 2 + -56k = 0 Solving 2 + -56k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -56k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -56k = 0 + -2 -56k = 0 + -2 Combine like terms: 0 + -2 = -2 -56k = -2 Divide each side by '-56'. k = 0.03571428571 Simplifying k = 0.03571428571
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