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Simplifying 7 + 3n + -15 = n + 10 + -5n Reorder the terms: 7 + -15 + 3n = n + 10 + -5n Combine like terms: 7 + -15 = -8 -8 + 3n = n + 10 + -5n Reorder the terms: -8 + 3n = 10 + n + -5n Combine like terms: n + -5n = -4n -8 + 3n = 10 + -4n Solving -8 + 3n = 10 + -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. -8 + 3n + 4n = 10 + -4n + 4n Combine like terms: 3n + 4n = 7n -8 + 7n = 10 + -4n + 4n Combine like terms: -4n + 4n = 0 -8 + 7n = 10 + 0 -8 + 7n = 10 Add '8' to each side of the equation. -8 + 8 + 7n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 7n = 10 + 8 7n = 10 + 8 Combine like terms: 10 + 8 = 18 7n = 18 Divide each side by '7'. n = 2.571428571 Simplifying n = 2.571428571
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