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Simplifying 3(4n + -7) + -2(5n + -6) = 11n + 5 Reorder the terms: 3(-7 + 4n) + -2(5n + -6) = 11n + 5 (-7 * 3 + 4n * 3) + -2(5n + -6) = 11n + 5 (-21 + 12n) + -2(5n + -6) = 11n + 5 Reorder the terms: -21 + 12n + -2(-6 + 5n) = 11n + 5 -21 + 12n + (-6 * -2 + 5n * -2) = 11n + 5 -21 + 12n + (12 + -10n) = 11n + 5 Reorder the terms: -21 + 12 + 12n + -10n = 11n + 5 Combine like terms: -21 + 12 = -9 -9 + 12n + -10n = 11n + 5 Combine like terms: 12n + -10n = 2n -9 + 2n = 11n + 5 Reorder the terms: -9 + 2n = 5 + 11n Solving -9 + 2n = 5 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -9 + 2n + -11n = 5 + 11n + -11n Combine like terms: 2n + -11n = -9n -9 + -9n = 5 + 11n + -11n Combine like terms: 11n + -11n = 0 -9 + -9n = 5 + 0 -9 + -9n = 5 Add '9' to each side of the equation. -9 + 9 + -9n = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -9n = 5 + 9 -9n = 5 + 9 Combine like terms: 5 + 9 = 14 -9n = 14 Divide each side by '-9'. n = -1.555555556 Simplifying n = -1.555555556
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