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Simplifying 3(n + 10) + 11 = 7n + -1 Reorder the terms: 3(10 + n) + 11 = 7n + -1 (10 * 3 + n * 3) + 11 = 7n + -1 (30 + 3n) + 11 = 7n + -1 Reorder the terms: 30 + 11 + 3n = 7n + -1 Combine like terms: 30 + 11 = 41 41 + 3n = 7n + -1 Reorder the terms: 41 + 3n = -1 + 7n Solving 41 + 3n = -1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 41 + 3n + -7n = -1 + 7n + -7n Combine like terms: 3n + -7n = -4n 41 + -4n = -1 + 7n + -7n Combine like terms: 7n + -7n = 0 41 + -4n = -1 + 0 41 + -4n = -1 Add '-41' to each side of the equation. 41 + -41 + -4n = -1 + -41 Combine like terms: 41 + -41 = 0 0 + -4n = -1 + -41 -4n = -1 + -41 Combine like terms: -1 + -41 = -42 -4n = -42 Divide each side by '-4'. n = 10.5 Simplifying n = 10.5
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