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Simplifying 5(2n + -2) = (5n + 9) + 7 Reorder the terms: 5(-2 + 2n) = (5n + 9) + 7 (-2 * 5 + 2n * 5) = (5n + 9) + 7 (-10 + 10n) = (5n + 9) + 7 Reorder the terms: -10 + 10n = (9 + 5n) + 7 Remove parenthesis around (9 + 5n) -10 + 10n = 9 + 5n + 7 Reorder the terms: -10 + 10n = 9 + 7 + 5n Combine like terms: 9 + 7 = 16 -10 + 10n = 16 + 5n Solving -10 + 10n = 16 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -10 + 10n + -5n = 16 + 5n + -5n Combine like terms: 10n + -5n = 5n -10 + 5n = 16 + 5n + -5n Combine like terms: 5n + -5n = 0 -10 + 5n = 16 + 0 -10 + 5n = 16 Add '10' to each side of the equation. -10 + 10 + 5n = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 5n = 16 + 10 5n = 16 + 10 Combine like terms: 16 + 10 = 26 5n = 26 Divide each side by '5'. n = 5.2 Simplifying n = 5.2
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