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Simplifying 5n + 3 = -55 + -6(n + -8) Reorder the terms: 3 + 5n = -55 + -6(n + -8) Reorder the terms: 3 + 5n = -55 + -6(-8 + n) 3 + 5n = -55 + (-8 * -6 + n * -6) 3 + 5n = -55 + (48 + -6n) Combine like terms: -55 + 48 = -7 3 + 5n = -7 + -6n Solving 3 + 5n = -7 + -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. 3 + 5n + 6n = -7 + -6n + 6n Combine like terms: 5n + 6n = 11n 3 + 11n = -7 + -6n + 6n Combine like terms: -6n + 6n = 0 3 + 11n = -7 + 0 3 + 11n = -7 Add '-3' to each side of the equation. 3 + -3 + 11n = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 11n = -7 + -3 11n = -7 + -3 Combine like terms: -7 + -3 = -10 11n = -10 Divide each side by '11'. n = -0.9090909091 Simplifying n = -0.9090909091
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