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Simplifying -11(k + -3) = -3(-7 + 3k) Reorder the terms: -11(-3 + k) = -3(-7 + 3k) (-3 * -11 + k * -11) = -3(-7 + 3k) (33 + -11k) = -3(-7 + 3k) 33 + -11k = (-7 * -3 + 3k * -3) 33 + -11k = (21 + -9k) Solving 33 + -11k = 21 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 33 + -11k + 9k = 21 + -9k + 9k Combine like terms: -11k + 9k = -2k 33 + -2k = 21 + -9k + 9k Combine like terms: -9k + 9k = 0 33 + -2k = 21 + 0 33 + -2k = 21 Add '-33' to each side of the equation. 33 + -33 + -2k = 21 + -33 Combine like terms: 33 + -33 = 0 0 + -2k = 21 + -33 -2k = 21 + -33 Combine like terms: 21 + -33 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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