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Simplifying 40 + -11(3n + 4) = 4(5n + 3) + -29 Reorder the terms: 40 + -11(4 + 3n) = 4(5n + 3) + -29 40 + (4 * -11 + 3n * -11) = 4(5n + 3) + -29 40 + (-44 + -33n) = 4(5n + 3) + -29 Combine like terms: 40 + -44 = -4 -4 + -33n = 4(5n + 3) + -29 Reorder the terms: -4 + -33n = 4(3 + 5n) + -29 -4 + -33n = (3 * 4 + 5n * 4) + -29 -4 + -33n = (12 + 20n) + -29 Reorder the terms: -4 + -33n = 12 + -29 + 20n Combine like terms: 12 + -29 = -17 -4 + -33n = -17 + 20n Solving -4 + -33n = -17 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -4 + -33n + -20n = -17 + 20n + -20n Combine like terms: -33n + -20n = -53n -4 + -53n = -17 + 20n + -20n Combine like terms: 20n + -20n = 0 -4 + -53n = -17 + 0 -4 + -53n = -17 Add '4' to each side of the equation. -4 + 4 + -53n = -17 + 4 Combine like terms: -4 + 4 = 0 0 + -53n = -17 + 4 -53n = -17 + 4 Combine like terms: -17 + 4 = -13 -53n = -13 Divide each side by '-53'. n = 0.2452830189 Simplifying n = 0.2452830189
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