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Simplifying 7n + -2n + 5 = 4n + 8 + -7 Reorder the terms: 5 + 7n + -2n = 4n + 8 + -7 Combine like terms: 7n + -2n = 5n 5 + 5n = 4n + 8 + -7 Reorder the terms: 5 + 5n = 8 + -7 + 4n Combine like terms: 8 + -7 = 1 5 + 5n = 1 + 4n Solving 5 + 5n = 1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5 + 5n + -4n = 1 + 4n + -4n Combine like terms: 5n + -4n = 1n 5 + 1n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + 1n = 1 + 0 5 + 1n = 1 Add '-5' to each side of the equation. 5 + -5 + 1n = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1n = 1 + -5 1n = 1 + -5 Combine like terms: 1 + -5 = -4 1n = -4 Divide each side by '1'. n = -4 Simplifying n = -4
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