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Simplifying 5(2n + -2) = (4n + 6) + 2 Reorder the terms: 5(-2 + 2n) = (4n + 6) + 2 (-2 * 5 + 2n * 5) = (4n + 6) + 2 (-10 + 10n) = (4n + 6) + 2 Reorder the terms: -10 + 10n = (6 + 4n) + 2 Remove parenthesis around (6 + 4n) -10 + 10n = 6 + 4n + 2 Reorder the terms: -10 + 10n = 6 + 2 + 4n Combine like terms: 6 + 2 = 8 -10 + 10n = 8 + 4n Solving -10 + 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. -10 + 10n + -4n = 8 + 4n + -4n Combine like terms: 10n + -4n = 6n -10 + 6n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -10 + 6n = 8 + 0 -10 + 6n = 8 Add '10' to each side of the equation. -10 + 10 + 6n = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 6n = 8 + 10 6n = 8 + 10 Combine like terms: 8 + 10 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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