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Simplifying n + -29 + 40n = 79 + 35n Reorder the terms: -29 + n + 40n = 79 + 35n Combine like terms: n + 40n = 41n -29 + 41n = 79 + 35n Solving -29 + 41n = 79 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -29 + 41n + -35n = 79 + 35n + -35n Combine like terms: 41n + -35n = 6n -29 + 6n = 79 + 35n + -35n Combine like terms: 35n + -35n = 0 -29 + 6n = 79 + 0 -29 + 6n = 79 Add '29' to each side of the equation. -29 + 29 + 6n = 79 + 29 Combine like terms: -29 + 29 = 0 0 + 6n = 79 + 29 6n = 79 + 29 Combine like terms: 79 + 29 = 108 6n = 108 Divide each side by '6'. n = 18 Simplifying n = 18
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