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Simplifying 2(n + -5) = 4x + -2(n + 5) Reorder the terms: 2(-5 + n) = 4x + -2(n + 5) (-5 * 2 + n * 2) = 4x + -2(n + 5) (-10 + 2n) = 4x + -2(n + 5) Reorder the terms: -10 + 2n = 4x + -2(5 + n) -10 + 2n = 4x + (5 * -2 + n * -2) -10 + 2n = 4x + (-10 + -2n) Reorder the terms: -10 + 2n = -10 + -2n + 4x Add '10' to each side of the equation. -10 + 10 + 2n = -10 + -2n + 10 + 4x Combine like terms: -10 + 10 = 0 0 + 2n = -10 + -2n + 10 + 4x 2n = -10 + -2n + 10 + 4x Reorder the terms: 2n = -10 + 10 + -2n + 4x Combine like terms: -10 + 10 = 0 2n = 0 + -2n + 4x 2n = -2n + 4x Solving 2n = -2n + 4x 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. 2n + 2n = -2n + 2n + 4x Combine like terms: 2n + 2n = 4n 4n = -2n + 2n + 4x Combine like terms: -2n + 2n = 0 4n = 0 + 4x 4n = 4x Divide each side by '4'. n = x Simplifying n = x
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