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Simplifying 3(4n + 5) + -7 = 2n + 8 Reorder the terms: 3(5 + 4n) + -7 = 2n + 8 (5 * 3 + 4n * 3) + -7 = 2n + 8 (15 + 12n) + -7 = 2n + 8 Reorder the terms: 15 + -7 + 12n = 2n + 8 Combine like terms: 15 + -7 = 8 8 + 12n = 2n + 8 Reorder the terms: 8 + 12n = 8 + 2n Add '-8' to each side of the equation. 8 + -8 + 12n = 8 + -8 + 2n Combine like terms: 8 + -8 = 0 0 + 12n = 8 + -8 + 2n 12n = 8 + -8 + 2n Combine like terms: 8 + -8 = 0 12n = 0 + 2n 12n = 2n Solving 12n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 12n + -2n = 2n + -2n Combine like terms: 12n + -2n = 10n 10n = 2n + -2n Combine like terms: 2n + -2n = 0 10n = 0 Divide each side by '10'. n = 0.0 Simplifying n = 0.0
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