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Simplifying 6k + 33 = -4(7 + -5k) + 5 Reorder the terms: 33 + 6k = -4(7 + -5k) + 5 33 + 6k = (7 * -4 + -5k * -4) + 5 33 + 6k = (-28 + 20k) + 5 Reorder the terms: 33 + 6k = -28 + 5 + 20k Combine like terms: -28 + 5 = -23 33 + 6k = -23 + 20k Solving 33 + 6k = -23 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. 33 + 6k + -20k = -23 + 20k + -20k Combine like terms: 6k + -20k = -14k 33 + -14k = -23 + 20k + -20k Combine like terms: 20k + -20k = 0 33 + -14k = -23 + 0 33 + -14k = -23 Add '-33' to each side of the equation. 33 + -33 + -14k = -23 + -33 Combine like terms: 33 + -33 = 0 0 + -14k = -23 + -33 -14k = -23 + -33 Combine like terms: -23 + -33 = -56 -14k = -56 Divide each side by '-14'. k = 4 Simplifying k = 4
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