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Simplifying -3(k + -11) = -5(k + 5) Reorder the terms: -3(-11 + k) = -5(k + 5) (-11 * -3 + k * -3) = -5(k + 5) (33 + -3k) = -5(k + 5) Reorder the terms: 33 + -3k = -5(5 + k) 33 + -3k = (5 * -5 + k * -5) 33 + -3k = (-25 + -5k) Solving 33 + -3k = -25 + -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. 33 + -3k + 5k = -25 + -5k + 5k Combine like terms: -3k + 5k = 2k 33 + 2k = -25 + -5k + 5k Combine like terms: -5k + 5k = 0 33 + 2k = -25 + 0 33 + 2k = -25 Add '-33' to each side of the equation. 33 + -33 + 2k = -25 + -33 Combine like terms: 33 + -33 = 0 0 + 2k = -25 + -33 2k = -25 + -33 Combine like terms: -25 + -33 = -58 2k = -58 Divide each side by '2'. k = -29 Simplifying k = -29
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