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Simplifying 5(2n + -2) = (4n + 8) + 3 Reorder the terms: 5(-2 + 2n) = (4n + 8) + 3 (-2 * 5 + 2n * 5) = (4n + 8) + 3 (-10 + 10n) = (4n + 8) + 3 Reorder the terms: -10 + 10n = (8 + 4n) + 3 Remove parenthesis around (8 + 4n) -10 + 10n = 8 + 4n + 3 Reorder the terms: -10 + 10n = 8 + 3 + 4n Combine like terms: 8 + 3 = 11 -10 + 10n = 11 + 4n Solving -10 + 10n = 11 + 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 = 11 + 4n + -4n Combine like terms: 10n + -4n = 6n -10 + 6n = 11 + 4n + -4n Combine like terms: 4n + -4n = 0 -10 + 6n = 11 + 0 -10 + 6n = 11 Add '10' to each side of the equation. -10 + 10 + 6n = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 6n = 11 + 10 6n = 11 + 10 Combine like terms: 11 + 10 = 21 6n = 21 Divide each side by '6'. n = 3.5 Simplifying n = 3.5
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