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Simplifying 5 + -1(n + -3) = 3(n + 2) Reorder the terms: 5 + -1(-3 + n) = 3(n + 2) 5 + (-3 * -1 + n * -1) = 3(n + 2) 5 + (3 + -1n) = 3(n + 2) Combine like terms: 5 + 3 = 8 8 + -1n = 3(n + 2) Reorder the terms: 8 + -1n = 3(2 + n) 8 + -1n = (2 * 3 + n * 3) 8 + -1n = (6 + 3n) Solving 8 + -1n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 8 + -1n + -3n = 6 + 3n + -3n Combine like terms: -1n + -3n = -4n 8 + -4n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 8 + -4n = 6 + 0 8 + -4n = 6 Add '-8' to each side of the equation. 8 + -8 + -4n = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = 6 + -8 -4n = 6 + -8 Combine like terms: 6 + -8 = -2 -4n = -2 Divide each side by '-4'. n = 0.5 Simplifying n = 0.5
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