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Simplifying 3n + -7 = 9(5 + n) Reorder the terms: -7 + 3n = 9(5 + n) -7 + 3n = (5 * 9 + n * 9) -7 + 3n = (45 + 9n) Solving -7 + 3n = 45 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -7 + 3n + -9n = 45 + 9n + -9n Combine like terms: 3n + -9n = -6n -7 + -6n = 45 + 9n + -9n Combine like terms: 9n + -9n = 0 -7 + -6n = 45 + 0 -7 + -6n = 45 Add '7' to each side of the equation. -7 + 7 + -6n = 45 + 7 Combine like terms: -7 + 7 = 0 0 + -6n = 45 + 7 -6n = 45 + 7 Combine like terms: 45 + 7 = 52 -6n = 52 Divide each side by '-6'. n = -8.666666667 Simplifying n = -8.666666667
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