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Simplifying 23 + -1(n + -178) = 35(n + 76) Reorder the terms: 23 + -1(-178 + n) = 35(n + 76) 23 + (-178 * -1 + n * -1) = 35(n + 76) 23 + (178 + -1n) = 35(n + 76) Combine like terms: 23 + 178 = 201 201 + -1n = 35(n + 76) Reorder the terms: 201 + -1n = 35(76 + n) 201 + -1n = (76 * 35 + n * 35) 201 + -1n = (2660 + 35n) Solving 201 + -1n = 2660 + 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. 201 + -1n + -35n = 2660 + 35n + -35n Combine like terms: -1n + -35n = -36n 201 + -36n = 2660 + 35n + -35n Combine like terms: 35n + -35n = 0 201 + -36n = 2660 + 0 201 + -36n = 2660 Add '-201' to each side of the equation. 201 + -201 + -36n = 2660 + -201 Combine like terms: 201 + -201 = 0 0 + -36n = 2660 + -201 -36n = 2660 + -201 Combine like terms: 2660 + -201 = 2459 -36n = 2459 Divide each side by '-36'. n = -68.30555556 Simplifying n = -68.30555556
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