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Simplifying 41 + -11(3n + 4) = 5(7n + 3) + -44n Reorder the terms: 41 + -11(4 + 3n) = 5(7n + 3) + -44n 41 + (4 * -11 + 3n * -11) = 5(7n + 3) + -44n 41 + (-44 + -33n) = 5(7n + 3) + -44n Combine like terms: 41 + -44 = -3 -3 + -33n = 5(7n + 3) + -44n Reorder the terms: -3 + -33n = 5(3 + 7n) + -44n -3 + -33n = (3 * 5 + 7n * 5) + -44n -3 + -33n = (15 + 35n) + -44n Combine like terms: 35n + -44n = -9n -3 + -33n = 15 + -9n Solving -3 + -33n = 15 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -3 + -33n + 9n = 15 + -9n + 9n Combine like terms: -33n + 9n = -24n -3 + -24n = 15 + -9n + 9n Combine like terms: -9n + 9n = 0 -3 + -24n = 15 + 0 -3 + -24n = 15 Add '3' to each side of the equation. -3 + 3 + -24n = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -24n = 15 + 3 -24n = 15 + 3 Combine like terms: 15 + 3 = 18 -24n = 18 Divide each side by '-24'. n = -0.75 Simplifying n = -0.75
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