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Simplifying 3 + -7n = 2n + -3(4n + -8) Reorder the terms: 3 + -7n = 2n + -3(-8 + 4n) 3 + -7n = 2n + (-8 * -3 + 4n * -3) 3 + -7n = 2n + (24 + -12n) Reorder the terms: 3 + -7n = 24 + 2n + -12n Combine like terms: 2n + -12n = -10n 3 + -7n = 24 + -10n Solving 3 + -7n = 24 + -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. 3 + -7n + 10n = 24 + -10n + 10n Combine like terms: -7n + 10n = 3n 3 + 3n = 24 + -10n + 10n Combine like terms: -10n + 10n = 0 3 + 3n = 24 + 0 3 + 3n = 24 Add '-3' to each side of the equation. 3 + -3 + 3n = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3n = 24 + -3 3n = 24 + -3 Combine like terms: 24 + -3 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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