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Simplifying 4n + -40 = 7 + -2n + 4(1 + -3n) Reorder the terms: -40 + 4n = 7 + -2n + 4(1 + -3n) -40 + 4n = 7 + -2n + (1 * 4 + -3n * 4) -40 + 4n = 7 + -2n + (4 + -12n) Reorder the terms: -40 + 4n = 7 + 4 + -2n + -12n Combine like terms: 7 + 4 = 11 -40 + 4n = 11 + -2n + -12n Combine like terms: -2n + -12n = -14n -40 + 4n = 11 + -14n Solving -40 + 4n = 11 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -40 + 4n + 14n = 11 + -14n + 14n Combine like terms: 4n + 14n = 18n -40 + 18n = 11 + -14n + 14n Combine like terms: -14n + 14n = 0 -40 + 18n = 11 + 0 -40 + 18n = 11 Add '40' to each side of the equation. -40 + 40 + 18n = 11 + 40 Combine like terms: -40 + 40 = 0 0 + 18n = 11 + 40 18n = 11 + 40 Combine like terms: 11 + 40 = 51 18n = 51 Divide each side by '18'. n = 2.833333333 Simplifying n = 2.833333333
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