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Simplifying 3n + -1n + 7 = 6n + -13 Reorder the terms: 7 + 3n + -1n = 6n + -13 Combine like terms: 3n + -1n = 2n 7 + 2n = 6n + -13 Reorder the terms: 7 + 2n = -13 + 6n Solving 7 + 2n = -13 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 7 + 2n + -6n = -13 + 6n + -6n Combine like terms: 2n + -6n = -4n 7 + -4n = -13 + 6n + -6n Combine like terms: 6n + -6n = 0 7 + -4n = -13 + 0 7 + -4n = -13 Add '-7' to each side of the equation. 7 + -7 + -4n = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -4n = -13 + -7 -4n = -13 + -7 Combine like terms: -13 + -7 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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