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Simplifying 2(4 + -1n) = 3n + -7 (4 * 2 + -1n * 2) = 3n + -7 (8 + -2n) = 3n + -7 Reorder the terms: 8 + -2n = -7 + 3n Solving 8 + -2n = -7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 8 + -2n + -3n = -7 + 3n + -3n Combine like terms: -2n + -3n = -5n 8 + -5n = -7 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -5n = -7 + 0 8 + -5n = -7 Add '-8' to each side of the equation. 8 + -8 + -5n = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -5n = -7 + -8 -5n = -7 + -8 Combine like terms: -7 + -8 = -15 -5n = -15 Divide each side by '-5'. n = 3 Simplifying n = 3
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