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Simplifying 3n + 2 + -7 = -2n + -10 + 15 Reorder the terms: 2 + -7 + 3n = -2n + -10 + 15 Combine like terms: 2 + -7 = -5 -5 + 3n = -2n + -10 + 15 Reorder the terms: -5 + 3n = -10 + 15 + -2n Combine like terms: -10 + 15 = 5 -5 + 3n = 5 + -2n Solving -5 + 3n = 5 + -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 = 5 + -2n + 2n Combine like terms: 3n + 2n = 5n -5 + 5n = 5 + -2n + 2n Combine like terms: -2n + 2n = 0 -5 + 5n = 5 + 0 -5 + 5n = 5 Add '5' to each side of the equation. -5 + 5 + 5n = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 5n = 5 + 5 5n = 5 + 5 Combine like terms: 5 + 5 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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