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Simplifying 4(2 + n) = -2(1 + 5x) (2 * 4 + n * 4) = -2(1 + 5x) (8 + 4n) = -2(1 + 5x) 8 + 4n = (1 * -2 + 5x * -2) 8 + 4n = (-2 + -10x) Solving 8 + 4n = -2 + -10x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4n = -2 + -8 + -10x Combine like terms: 8 + -8 = 0 0 + 4n = -2 + -8 + -10x 4n = -2 + -8 + -10x Combine like terms: -2 + -8 = -10 4n = -10 + -10x Divide each side by '4'. n = -2.5 + -2.5x Simplifying n = -2.5 + -2.5x
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