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Simplifying 25 + -11(3n + 3) = 6(6n + 1) + -48n Reorder the terms: 25 + -11(3 + 3n) = 6(6n + 1) + -48n 25 + (3 * -11 + 3n * -11) = 6(6n + 1) + -48n 25 + (-33 + -33n) = 6(6n + 1) + -48n Combine like terms: 25 + -33 = -8 -8 + -33n = 6(6n + 1) + -48n Reorder the terms: -8 + -33n = 6(1 + 6n) + -48n -8 + -33n = (1 * 6 + 6n * 6) + -48n -8 + -33n = (6 + 36n) + -48n Combine like terms: 36n + -48n = -12n -8 + -33n = 6 + -12n Solving -8 + -33n = 6 + -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -8 + -33n + 12n = 6 + -12n + 12n Combine like terms: -33n + 12n = -21n -8 + -21n = 6 + -12n + 12n Combine like terms: -12n + 12n = 0 -8 + -21n = 6 + 0 -8 + -21n = 6 Add '8' to each side of the equation. -8 + 8 + -21n = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -21n = 6 + 8 -21n = 6 + 8 Combine like terms: 6 + 8 = 14 -21n = 14 Divide each side by '-21'. n = -0.6666666667 Simplifying n = -0.6666666667
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