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Simplifying 6k(7k2 + 8k2 + -3k2 + k2) + 22 = -515 Combine like terms: 7k2 + 8k2 = 15k2 6k(15k2 + -3k2 + k2) + 22 = -515 Combine like terms: 15k2 + -3k2 = 12k2 6k(12k2 + k2) + 22 = -515 Combine like terms: 12k2 + k2 = 13k2 6k(13k2) + 22 = -515 Remove parenthesis around (13k2) 6k * 13k2 + 22 = -515 Reorder the terms for easier multiplication: 6 * 13k * k2 + 22 = -515 Multiply 6 * 13 78k * k2 + 22 = -515 Multiply k * k2 78k3 + 22 = -515 Reorder the terms: 22 + 78k3 = -515 Solving 22 + 78k3 = -515 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 78k3 = -515 + -22 Combine like terms: 22 + -22 = 0 0 + 78k3 = -515 + -22 78k3 = -515 + -22 Combine like terms: -515 + -22 = -537 78k3 = -537 Divide each side by '78'. k3 = -6.884615385 Simplifying k3 = -6.884615385 Reorder the terms: 6.884615385 + k3 = -6.884615385 + 6.884615385 Combine like terms: -6.884615385 + 6.884615385 = 0.000000000 6.884615385 + k3 = 0.000000000 The solution to this equation could not be determined.
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