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Simplifying 3(n + 8) = 58 + -7(n + -8) Reorder the terms: 3(8 + n) = 58 + -7(n + -8) (8 * 3 + n * 3) = 58 + -7(n + -8) (24 + 3n) = 58 + -7(n + -8) Reorder the terms: 24 + 3n = 58 + -7(-8 + n) 24 + 3n = 58 + (-8 * -7 + n * -7) 24 + 3n = 58 + (56 + -7n) Combine like terms: 58 + 56 = 114 24 + 3n = 114 + -7n Solving 24 + 3n = 114 + -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. 24 + 3n + 7n = 114 + -7n + 7n Combine like terms: 3n + 7n = 10n 24 + 10n = 114 + -7n + 7n Combine like terms: -7n + 7n = 0 24 + 10n = 114 + 0 24 + 10n = 114 Add '-24' to each side of the equation. 24 + -24 + 10n = 114 + -24 Combine like terms: 24 + -24 = 0 0 + 10n = 114 + -24 10n = 114 + -24 Combine like terms: 114 + -24 = 90 10n = 90 Divide each side by '10'. n = 9 Simplifying n = 9
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