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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 = -22 -22 + 12n = 2n + 8 Reorder the terms: -22 + 12n = 8 + 2n Solving -22 + 12n = 8 + 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. -22 + 12n + -2n = 8 + 2n + -2n Combine like terms: 12n + -2n = 10n -22 + 10n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 -22 + 10n = 8 + 0 -22 + 10n = 8 Add '22' to each side of the equation. -22 + 22 + 10n = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 10n = 8 + 22 10n = 8 + 22 Combine like terms: 8 + 22 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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