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Simplifying -3 + 6 + 5n = 7n + -8 + 9 Combine like terms: -3 + 6 = 3 3 + 5n = 7n + -8 + 9 Reorder the terms: 3 + 5n = -8 + 9 + 7n Combine like terms: -8 + 9 = 1 3 + 5n = 1 + 7n Solving 3 + 5n = 1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 3 + 5n + -7n = 1 + 7n + -7n Combine like terms: 5n + -7n = -2n 3 + -2n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 3 + -2n = 1 + 0 3 + -2n = 1 Add '-3' to each side of the equation. 3 + -3 + -2n = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -2n = 1 + -3 -2n = 1 + -3 Combine like terms: 1 + -3 = -2 -2n = -2 Divide each side by '-2'. n = 1 Simplifying n = 1
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