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Simplifying 8 + -2(n + -4) = 3(n + -2) + -5 Reorder the terms: 8 + -2(-4 + n) = 3(n + -2) + -5 8 + (-4 * -2 + n * -2) = 3(n + -2) + -5 8 + (8 + -2n) = 3(n + -2) + -5 Combine like terms: 8 + 8 = 16 16 + -2n = 3(n + -2) + -5 Reorder the terms: 16 + -2n = 3(-2 + n) + -5 16 + -2n = (-2 * 3 + n * 3) + -5 16 + -2n = (-6 + 3n) + -5 Reorder the terms: 16 + -2n = -6 + -5 + 3n Combine like terms: -6 + -5 = -11 16 + -2n = -11 + 3n Solving 16 + -2n = -11 + 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. 16 + -2n + -3n = -11 + 3n + -3n Combine like terms: -2n + -3n = -5n 16 + -5n = -11 + 3n + -3n Combine like terms: 3n + -3n = 0 16 + -5n = -11 + 0 16 + -5n = -11 Add '-16' to each side of the equation. 16 + -16 + -5n = -11 + -16 Combine like terms: 16 + -16 = 0 0 + -5n = -11 + -16 -5n = -11 + -16 Combine like terms: -11 + -16 = -27 -5n = -27 Divide each side by '-5'. n = 5.4 Simplifying n = 5.4
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