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Simplifying 5(2n + -2) = 9(n + 4) Reorder the terms: 5(-2 + 2n) = 9(n + 4) (-2 * 5 + 2n * 5) = 9(n + 4) (-10 + 10n) = 9(n + 4) Reorder the terms: -10 + 10n = 9(4 + n) -10 + 10n = (4 * 9 + n * 9) -10 + 10n = (36 + 9n) Solving -10 + 10n = 36 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -10 + 10n + -9n = 36 + 9n + -9n Combine like terms: 10n + -9n = 1n -10 + 1n = 36 + 9n + -9n Combine like terms: 9n + -9n = 0 -10 + 1n = 36 + 0 -10 + 1n = 36 Add '10' to each side of the equation. -10 + 10 + 1n = 36 + 10 Combine like terms: -10 + 10 = 0 0 + 1n = 36 + 10 1n = 36 + 10 Combine like terms: 36 + 10 = 46 1n = 46 Divide each side by '1'. n = 46 Simplifying n = 46
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