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Simplifying -4 + -11 + n + -11 = 6(n + -2) + 4(n + -9) Reorder the terms: -4 + -11 + -11 + n = 6(n + -2) + 4(n + -9) Combine like terms: -4 + -11 = -15 -15 + -11 + n = 6(n + -2) + 4(n + -9) Combine like terms: -15 + -11 = -26 -26 + n = 6(n + -2) + 4(n + -9) Reorder the terms: -26 + n = 6(-2 + n) + 4(n + -9) -26 + n = (-2 * 6 + n * 6) + 4(n + -9) -26 + n = (-12 + 6n) + 4(n + -9) Reorder the terms: -26 + n = -12 + 6n + 4(-9 + n) -26 + n = -12 + 6n + (-9 * 4 + n * 4) -26 + n = -12 + 6n + (-36 + 4n) Reorder the terms: -26 + n = -12 + -36 + 6n + 4n Combine like terms: -12 + -36 = -48 -26 + n = -48 + 6n + 4n Combine like terms: 6n + 4n = 10n -26 + n = -48 + 10n Solving -26 + n = -48 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -26 + n + -10n = -48 + 10n + -10n Combine like terms: n + -10n = -9n -26 + -9n = -48 + 10n + -10n Combine like terms: 10n + -10n = 0 -26 + -9n = -48 + 0 -26 + -9n = -48 Add '26' to each side of the equation. -26 + 26 + -9n = -48 + 26 Combine like terms: -26 + 26 = 0 0 + -9n = -48 + 26 -9n = -48 + 26 Combine like terms: -48 + 26 = -22 -9n = -22 Divide each side by '-9'. n = 2.444444444 Simplifying n = 2.444444444
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