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Simplifying -6k2 + 8k + 6k2 + 60 = 4k2 + 8k + -4k2 + -10k Reorder the terms: 60 + 8k + -6k2 + 6k2 = 4k2 + 8k + -4k2 + -10k Combine like terms: -6k2 + 6k2 = 0 60 + 8k + 0 = 4k2 + 8k + -4k2 + -10k 60 + 8k = 4k2 + 8k + -4k2 + -10k Reorder the terms: 60 + 8k = 8k + -10k + 4k2 + -4k2 Combine like terms: 8k + -10k = -2k 60 + 8k = -2k + 4k2 + -4k2 Combine like terms: 4k2 + -4k2 = 0 60 + 8k = -2k + 0 60 + 8k = -2k Solving 60 + 8k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 60 + 8k + 2k = -2k + 2k Combine like terms: 8k + 2k = 10k 60 + 10k = -2k + 2k Combine like terms: -2k + 2k = 0 60 + 10k = 0 Add '-60' to each side of the equation. 60 + -60 + 10k = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 10k = 0 + -60 10k = 0 + -60 Combine like terms: 0 + -60 = -60 10k = -60 Divide each side by '10'. k = -6 Simplifying k = -6
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