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Simplifying 7(7 + -8k) + 3(k + -5) = 0 (7 * 7 + -8k * 7) + 3(k + -5) = 0 (49 + -56k) + 3(k + -5) = 0 Reorder the terms: 49 + -56k + 3(-5 + k) = 0 49 + -56k + (-5 * 3 + k * 3) = 0 49 + -56k + (-15 + 3k) = 0 Reorder the terms: 49 + -15 + -56k + 3k = 0 Combine like terms: 49 + -15 = 34 34 + -56k + 3k = 0 Combine like terms: -56k + 3k = -53k 34 + -53k = 0 Solving 34 + -53k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -53k = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -53k = 0 + -34 -53k = 0 + -34 Combine like terms: 0 + -34 = -34 -53k = -34 Divide each side by '-53'. k = 0.641509434 Simplifying k = 0.641509434
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