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Simplifying 5(n + 3) = 55 + -6(n + -8) Reorder the terms: 5(3 + n) = 55 + -6(n + -8) (3 * 5 + n * 5) = 55 + -6(n + -8) (15 + 5n) = 55 + -6(n + -8) Reorder the terms: 15 + 5n = 55 + -6(-8 + n) 15 + 5n = 55 + (-8 * -6 + n * -6) 15 + 5n = 55 + (48 + -6n) Combine like terms: 55 + 48 = 103 15 + 5n = 103 + -6n Solving 15 + 5n = 103 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 15 + 5n + 6n = 103 + -6n + 6n Combine like terms: 5n + 6n = 11n 15 + 11n = 103 + -6n + 6n Combine like terms: -6n + 6n = 0 15 + 11n = 103 + 0 15 + 11n = 103 Add '-15' to each side of the equation. 15 + -15 + 11n = 103 + -15 Combine like terms: 15 + -15 = 0 0 + 11n = 103 + -15 11n = 103 + -15 Combine like terms: 103 + -15 = 88 11n = 88 Divide each side by '11'. n = 8 Simplifying n = 8
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