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Simplifying 6n + -2n + 7 = 3 + 5n + -9 Reorder the terms: 7 + 6n + -2n = 3 + 5n + -9 Combine like terms: 6n + -2n = 4n 7 + 4n = 3 + 5n + -9 Reorder the terms: 7 + 4n = 3 + -9 + 5n Combine like terms: 3 + -9 = -6 7 + 4n = -6 + 5n Solving 7 + 4n = -6 + 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 = -6 + 5n + -5n Combine like terms: 4n + -5n = -1n 7 + -1n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + -1n = -6 + 0 7 + -1n = -6 Add '-7' to each side of the equation. 7 + -7 + -1n = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = -6 + -7 -1n = -6 + -7 Combine like terms: -6 + -7 = -13 -1n = -13 Divide each side by '-1'. n = 13 Simplifying n = 13
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