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Simplifying 40 + -11(4n + 4) = 5(6n + 1) + -62n Reorder the terms: 40 + -11(4 + 4n) = 5(6n + 1) + -62n 40 + (4 * -11 + 4n * -11) = 5(6n + 1) + -62n 40 + (-44 + -44n) = 5(6n + 1) + -62n Combine like terms: 40 + -44 = -4 -4 + -44n = 5(6n + 1) + -62n Reorder the terms: -4 + -44n = 5(1 + 6n) + -62n -4 + -44n = (1 * 5 + 6n * 5) + -62n -4 + -44n = (5 + 30n) + -62n Combine like terms: 30n + -62n = -32n -4 + -44n = 5 + -32n Solving -4 + -44n = 5 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -4 + -44n + 32n = 5 + -32n + 32n Combine like terms: -44n + 32n = -12n -4 + -12n = 5 + -32n + 32n Combine like terms: -32n + 32n = 0 -4 + -12n = 5 + 0 -4 + -12n = 5 Add '4' to each side of the equation. -4 + 4 + -12n = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -12n = 5 + 4 -12n = 5 + 4 Combine like terms: 5 + 4 = 9 -12n = 9 Divide each side by '-12'. n = -0.75 Simplifying n = -0.75
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