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Simplifying -40 = 3(n + 1) + 4(5 + -3n) Reorder the terms: -40 = 3(1 + n) + 4(5 + -3n) -40 = (1 * 3 + n * 3) + 4(5 + -3n) -40 = (3 + 3n) + 4(5 + -3n) -40 = 3 + 3n + (5 * 4 + -3n * 4) -40 = 3 + 3n + (20 + -12n) Reorder the terms: -40 = 3 + 20 + 3n + -12n Combine like terms: 3 + 20 = 23 -40 = 23 + 3n + -12n Combine like terms: 3n + -12n = -9n -40 = 23 + -9n Solving -40 = 23 + -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. -40 + 9n = 23 + -9n + 9n Combine like terms: -9n + 9n = 0 -40 + 9n = 23 + 0 -40 + 9n = 23 Add '40' to each side of the equation. -40 + 40 + 9n = 23 + 40 Combine like terms: -40 + 40 = 0 0 + 9n = 23 + 40 9n = 23 + 40 Combine like terms: 23 + 40 = 63 9n = 63 Divide each side by '9'. n = 7 Simplifying n = 7
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