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Simplifying -3n + 2(n + -2) = 8 + 5n Reorder the terms: -3n + 2(-2 + n) = 8 + 5n -3n + (-2 * 2 + n * 2) = 8 + 5n -3n + (-4 + 2n) = 8 + 5n Reorder the terms: -4 + -3n + 2n = 8 + 5n Combine like terms: -3n + 2n = -1n -4 + -1n = 8 + 5n Solving -4 + -1n = 8 + 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. -4 + -1n + -5n = 8 + 5n + -5n Combine like terms: -1n + -5n = -6n -4 + -6n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 -4 + -6n = 8 + 0 -4 + -6n = 8 Add '4' to each side of the equation. -4 + 4 + -6n = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -6n = 8 + 4 -6n = 8 + 4 Combine like terms: 8 + 4 = 12 -6n = 12 Divide each side by '-6'. n = -2 Simplifying n = -2
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