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Simplifying 9(k + -2) = 11(k + -4) Reorder the terms: 9(-2 + k) = 11(k + -4) (-2 * 9 + k * 9) = 11(k + -4) (-18 + 9k) = 11(k + -4) Reorder the terms: -18 + 9k = 11(-4 + k) -18 + 9k = (-4 * 11 + k * 11) -18 + 9k = (-44 + 11k) Solving -18 + 9k = -44 + 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. -18 + 9k + -11k = -44 + 11k + -11k Combine like terms: 9k + -11k = -2k -18 + -2k = -44 + 11k + -11k Combine like terms: 11k + -11k = 0 -18 + -2k = -44 + 0 -18 + -2k = -44 Add '18' to each side of the equation. -18 + 18 + -2k = -44 + 18 Combine like terms: -18 + 18 = 0 0 + -2k = -44 + 18 -2k = -44 + 18 Combine like terms: -44 + 18 = -26 -2k = -26 Divide each side by '-2'. k = 13 Simplifying k = 13
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