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Simplifying 9(k + 3) + 2 = 11(k + -6.13) Reorder the terms: 9(3 + k) + 2 = 11(k + -6.13) (3 * 9 + k * 9) + 2 = 11(k + -6.13) (27 + 9k) + 2 = 11(k + -6.13) Reorder the terms: 27 + 2 + 9k = 11(k + -6.13) Combine like terms: 27 + 2 = 29 29 + 9k = 11(k + -6.13) Reorder the terms: 29 + 9k = 11(-6.13 + k) 29 + 9k = (-6.13 * 11 + k * 11) 29 + 9k = (-67.43 + 11k) Solving 29 + 9k = -67.43 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 29 + 9k + -11k = -67.43 + 11k + -11k Combine like terms: 9k + -11k = -2k 29 + -2k = -67.43 + 11k + -11k Combine like terms: 11k + -11k = 0 29 + -2k = -67.43 + 0 29 + -2k = -67.43 Add '-29' to each side of the equation. 29 + -29 + -2k = -67.43 + -29 Combine like terms: 29 + -29 = 0 0 + -2k = -67.43 + -29 -2k = -67.43 + -29 Combine like terms: -67.43 + -29 = -96.43 -2k = -96.43 Divide each side by '-2'. k = 48.215 Simplifying k = 48.215
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