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Simplifying -3(7 + -3n) + 2n = 5(2n + 4) (7 * -3 + -3n * -3) + 2n = 5(2n + 4) (-21 + 9n) + 2n = 5(2n + 4) Combine like terms: 9n + 2n = 11n -21 + 11n = 5(2n + 4) Reorder the terms: -21 + 11n = 5(4 + 2n) -21 + 11n = (4 * 5 + 2n * 5) -21 + 11n = (20 + 10n) Solving -21 + 11n = 20 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -21 + 11n + -10n = 20 + 10n + -10n Combine like terms: 11n + -10n = 1n -21 + 1n = 20 + 10n + -10n Combine like terms: 10n + -10n = 0 -21 + 1n = 20 + 0 -21 + 1n = 20 Add '21' to each side of the equation. -21 + 21 + 1n = 20 + 21 Combine like terms: -21 + 21 = 0 0 + 1n = 20 + 21 1n = 20 + 21 Combine like terms: 20 + 21 = 41 1n = 41 Divide each side by '1'. n = 41 Simplifying n = 41
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