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Simplifying 5(n + 2) + 3 = -1(-8 + -4n) Reorder the terms: 5(2 + n) + 3 = -1(-8 + -4n) (2 * 5 + n * 5) + 3 = -1(-8 + -4n) (10 + 5n) + 3 = -1(-8 + -4n) Reorder the terms: 10 + 3 + 5n = -1(-8 + -4n) Combine like terms: 10 + 3 = 13 13 + 5n = -1(-8 + -4n) 13 + 5n = (-8 * -1 + -4n * -1) 13 + 5n = (8 + 4n) Solving 13 + 5n = 8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 13 + 5n + -4n = 8 + 4n + -4n Combine like terms: 5n + -4n = 1n 13 + 1n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 13 + 1n = 8 + 0 13 + 1n = 8 Add '-13' to each side of the equation. 13 + -13 + 1n = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 1n = 8 + -13 1n = 8 + -13 Combine like terms: 8 + -13 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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