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Simplifying 2n + -3(4n + 5) = -6(n + -3) + -17 Reorder the terms: 2n + -3(5 + 4n) = -6(n + -3) + -17 2n + (5 * -3 + 4n * -3) = -6(n + -3) + -17 2n + (-15 + -12n) = -6(n + -3) + -17 Reorder the terms: -15 + 2n + -12n = -6(n + -3) + -17 Combine like terms: 2n + -12n = -10n -15 + -10n = -6(n + -3) + -17 Reorder the terms: -15 + -10n = -6(-3 + n) + -17 -15 + -10n = (-3 * -6 + n * -6) + -17 -15 + -10n = (18 + -6n) + -17 Reorder the terms: -15 + -10n = 18 + -17 + -6n Combine like terms: 18 + -17 = 1 -15 + -10n = 1 + -6n Solving -15 + -10n = 1 + -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 = 1 + -6n + 6n Combine like terms: -10n + 6n = -4n -15 + -4n = 1 + -6n + 6n Combine like terms: -6n + 6n = 0 -15 + -4n = 1 + 0 -15 + -4n = 1 Add '15' to each side of the equation. -15 + 15 + -4n = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -4n = 1 + 15 -4n = 1 + 15 Combine like terms: 1 + 15 = 16 -4n = 16 Divide each side by '-4'. n = -4 Simplifying n = -4
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