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Simplifying 3n + -5 = -2(n + -5) Reorder the terms: -5 + 3n = -2(n + -5) Reorder the terms: -5 + 3n = -2(-5 + n) -5 + 3n = (-5 * -2 + n * -2) -5 + 3n = (10 + -2n) Solving -5 + 3n = 10 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -5 + 3n + 2n = 10 + -2n + 2n Combine like terms: 3n + 2n = 5n -5 + 5n = 10 + -2n + 2n Combine like terms: -2n + 2n = 0 -5 + 5n = 10 + 0 -5 + 5n = 10 Add '5' to each side of the equation. -5 + 5 + 5n = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 5n = 10 + 5 5n = 10 + 5 Combine like terms: 10 + 5 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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