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Simplifying 40 + -11(3n + 4) = 4(5n + 3) + -29n Reorder the terms: 40 + -11(4 + 3n) = 4(5n + 3) + -29n 40 + (4 * -11 + 3n * -11) = 4(5n + 3) + -29n 40 + (-44 + -33n) = 4(5n + 3) + -29n Combine like terms: 40 + -44 = -4 -4 + -33n = 4(5n + 3) + -29n Reorder the terms: -4 + -33n = 4(3 + 5n) + -29n -4 + -33n = (3 * 4 + 5n * 4) + -29n -4 + -33n = (12 + 20n) + -29n Combine like terms: 20n + -29n = -9n -4 + -33n = 12 + -9n Solving -4 + -33n = 12 + -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. -4 + -33n + 9n = 12 + -9n + 9n Combine like terms: -33n + 9n = -24n -4 + -24n = 12 + -9n + 9n Combine like terms: -9n + 9n = 0 -4 + -24n = 12 + 0 -4 + -24n = 12 Add '4' to each side of the equation. -4 + 4 + -24n = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -24n = 12 + 4 -24n = 12 + 4 Combine like terms: 12 + 4 = 16 -24n = 16 Divide each side by '-24'. n = -0.6666666667 Simplifying n = -0.6666666667
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