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Simplifying -2(n + -4) = 5n + 1 Reorder the terms: -2(-4 + n) = 5n + 1 (-4 * -2 + n * -2) = 5n + 1 (8 + -2n) = 5n + 1 Reorder the terms: 8 + -2n = 1 + 5n Solving 8 + -2n = 1 + 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. 8 + -2n + -5n = 1 + 5n + -5n Combine like terms: -2n + -5n = -7n 8 + -7n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 8 + -7n = 1 + 0 8 + -7n = 1 Add '-8' to each side of the equation. 8 + -8 + -7n = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -7n = 1 + -8 -7n = 1 + -8 Combine like terms: 1 + -8 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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