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Simplifying 3n + 7 + -8n = 33 + -12n + 23 Reorder the terms: 7 + 3n + -8n = 33 + -12n + 23 Combine like terms: 3n + -8n = -5n 7 + -5n = 33 + -12n + 23 Reorder the terms: 7 + -5n = 33 + 23 + -12n Combine like terms: 33 + 23 = 56 7 + -5n = 56 + -12n Solving 7 + -5n = 56 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. 7 + -5n + 12n = 56 + -12n + 12n Combine like terms: -5n + 12n = 7n 7 + 7n = 56 + -12n + 12n Combine like terms: -12n + 12n = 0 7 + 7n = 56 + 0 7 + 7n = 56 Add '-7' to each side of the equation. 7 + -7 + 7n = 56 + -7 Combine like terms: 7 + -7 = 0 0 + 7n = 56 + -7 7n = 56 + -7 Combine like terms: 56 + -7 = 49 7n = 49 Divide each side by '7'. n = 7 Simplifying n = 7
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