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Simplifying 2n + -3(4n + 5) = -6(n + -5) + -1 Reorder the terms: 2n + -3(5 + 4n) = -6(n + -5) + -1 2n + (5 * -3 + 4n * -3) = -6(n + -5) + -1 2n + (-15 + -12n) = -6(n + -5) + -1 Reorder the terms: -15 + 2n + -12n = -6(n + -5) + -1 Combine like terms: 2n + -12n = -10n -15 + -10n = -6(n + -5) + -1 Reorder the terms: -15 + -10n = -6(-5 + n) + -1 -15 + -10n = (-5 * -6 + n * -6) + -1 -15 + -10n = (30 + -6n) + -1 Reorder the terms: -15 + -10n = 30 + -1 + -6n Combine like terms: 30 + -1 = 29 -15 + -10n = 29 + -6n Solving -15 + -10n = 29 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -15 + -10n + 6n = 29 + -6n + 6n Combine like terms: -10n + 6n = -4n -15 + -4n = 29 + -6n + 6n Combine like terms: -6n + 6n = 0 -15 + -4n = 29 + 0 -15 + -4n = 29 Add '15' to each side of the equation. -15 + 15 + -4n = 29 + 15 Combine like terms: -15 + 15 = 0 0 + -4n = 29 + 15 -4n = 29 + 15 Combine like terms: 29 + 15 = 44 -4n = 44 Divide each side by '-4'. n = -11 Simplifying n = -11
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