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