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Simplifying 8 + -2n = -3(n + -5) Reorder the terms: 8 + -2n = -3(-5 + n) 8 + -2n = (-5 * -3 + n * -3) 8 + -2n = (15 + -3n) Solving 8 + -2n = 15 + -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 + -2n + 3n = 15 + -3n + 3n Combine like terms: -2n + 3n = 1n 8 + 1n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 8 + 1n = 15 + 0 8 + 1n = 15 Add '-8' to each side of the equation. 8 + -8 + 1n = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1n = 15 + -8 1n = 15 + -8 Combine like terms: 15 + -8 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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