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Simplifying 27n + 7 = 22n + -33 Reorder the terms: 7 + 27n = 22n + -33 Reorder the terms: 7 + 27n = -33 + 22n Solving 7 + 27n = -33 + 22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22n' to each side of the equation. 7 + 27n + -22n = -33 + 22n + -22n Combine like terms: 27n + -22n = 5n 7 + 5n = -33 + 22n + -22n Combine like terms: 22n + -22n = 0 7 + 5n = -33 + 0 7 + 5n = -33 Add '-7' to each side of the equation. 7 + -7 + 5n = -33 + -7 Combine like terms: 7 + -7 = 0 0 + 5n = -33 + -7 5n = -33 + -7 Combine like terms: -33 + -7 = -40 5n = -40 Divide each side by '5'. n = -8 Simplifying n = -8
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