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Simplifying 7n + 7 + -3n = 5n + -5 Reorder the terms: 7 + 7n + -3n = 5n + -5 Combine like terms: 7n + -3n = 4n 7 + 4n = 5n + -5 Reorder the terms: 7 + 4n = -5 + 5n Solving 7 + 4n = -5 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7 + 4n + -5n = -5 + 5n + -5n Combine like terms: 4n + -5n = -1n 7 + -1n = -5 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + -1n = -5 + 0 7 + -1n = -5 Add '-7' to each side of the equation. 7 + -7 + -1n = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = -5 + -7 -1n = -5 + -7 Combine like terms: -5 + -7 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12
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