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Simplifying 4(n + -2) = -2(n + -5) Reorder the terms: 4(-2 + n) = -2(n + -5) (-2 * 4 + n * 4) = -2(n + -5) (-8 + 4n) = -2(n + -5) Reorder the terms: -8 + 4n = -2(-5 + n) -8 + 4n = (-5 * -2 + n * -2) -8 + 4n = (10 + -2n) Solving -8 + 4n = 10 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -8 + 4n + 2n = 10 + -2n + 2n Combine like terms: 4n + 2n = 6n -8 + 6n = 10 + -2n + 2n Combine like terms: -2n + 2n = 0 -8 + 6n = 10 + 0 -8 + 6n = 10 Add '8' to each side of the equation. -8 + 8 + 6n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6n = 10 + 8 6n = 10 + 8 Combine like terms: 10 + 8 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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