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Simplifying 4n + 5n + -15 = 5n + 7n Reorder the terms: -15 + 4n + 5n = 5n + 7n Combine like terms: 4n + 5n = 9n -15 + 9n = 5n + 7n Combine like terms: 5n + 7n = 12n -15 + 9n = 12n Solving -15 + 9n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -15 + 9n + -12n = 12n + -12n Combine like terms: 9n + -12n = -3n -15 + -3n = 12n + -12n Combine like terms: 12n + -12n = 0 -15 + -3n = 0 Add '15' to each side of the equation. -15 + 15 + -3n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3n = 0 + 15 -3n = 0 + 15 Combine like terms: 0 + 15 = 15 -3n = 15 Divide each side by '-3'. n = -5 Simplifying n = -5
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