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Simplifying 41 + -6n = -7 + 9(n + -13) Reorder the terms: 41 + -6n = -7 + 9(-13 + n) 41 + -6n = -7 + (-13 * 9 + n * 9) 41 + -6n = -7 + (-117 + 9n) Combine like terms: -7 + -117 = -124 41 + -6n = -124 + 9n Solving 41 + -6n = -124 + 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. 41 + -6n + -9n = -124 + 9n + -9n Combine like terms: -6n + -9n = -15n 41 + -15n = -124 + 9n + -9n Combine like terms: 9n + -9n = 0 41 + -15n = -124 + 0 41 + -15n = -124 Add '-41' to each side of the equation. 41 + -41 + -15n = -124 + -41 Combine like terms: 41 + -41 = 0 0 + -15n = -124 + -41 -15n = -124 + -41 Combine like terms: -124 + -41 = -165 -15n = -165 Divide each side by '-15'. n = 11 Simplifying n = 11
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