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Simplifying 2(5n + -2) = 4(n + 2) Reorder the terms: 2(-2 + 5n) = 4(n + 2) (-2 * 2 + 5n * 2) = 4(n + 2) (-4 + 10n) = 4(n + 2) Reorder the terms: -4 + 10n = 4(2 + n) -4 + 10n = (2 * 4 + n * 4) -4 + 10n = (8 + 4n) Solving -4 + 10n = 8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -4 + 10n + -4n = 8 + 4n + -4n Combine like terms: 10n + -4n = 6n -4 + 6n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -4 + 6n = 8 + 0 -4 + 6n = 8 Add '4' to each side of the equation. -4 + 4 + 6n = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6n = 8 + 4 6n = 8 + 4 Combine like terms: 8 + 4 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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