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Simplifying k2 + 6k + -7 = k2 + -5k + -36 Reorder the terms: -7 + 6k + k2 = k2 + -5k + -36 Reorder the terms: -7 + 6k + k2 = -36 + -5k + k2 Add '-1k2' to each side of the equation. -7 + 6k + k2 + -1k2 = -36 + -5k + k2 + -1k2 Combine like terms: k2 + -1k2 = 0 -7 + 6k + 0 = -36 + -5k + k2 + -1k2 -7 + 6k = -36 + -5k + k2 + -1k2 Combine like terms: k2 + -1k2 = 0 -7 + 6k = -36 + -5k + 0 -7 + 6k = -36 + -5k Solving -7 + 6k = -36 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -7 + 6k + 5k = -36 + -5k + 5k Combine like terms: 6k + 5k = 11k -7 + 11k = -36 + -5k + 5k Combine like terms: -5k + 5k = 0 -7 + 11k = -36 + 0 -7 + 11k = -36 Add '7' to each side of the equation. -7 + 7 + 11k = -36 + 7 Combine like terms: -7 + 7 = 0 0 + 11k = -36 + 7 11k = -36 + 7 Combine like terms: -36 + 7 = -29 11k = -29 Divide each side by '11'. k = -2.636363636 Simplifying k = -2.636363636
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