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Simplifying 4(n + 7) + 5(n + -3) = 0 Reorder the terms: 4(7 + n) + 5(n + -3) = 0 (7 * 4 + n * 4) + 5(n + -3) = 0 (28 + 4n) + 5(n + -3) = 0 Reorder the terms: 28 + 4n + 5(-3 + n) = 0 28 + 4n + (-3 * 5 + n * 5) = 0 28 + 4n + (-15 + 5n) = 0 Reorder the terms: 28 + -15 + 4n + 5n = 0 Combine like terms: 28 + -15 = 13 13 + 4n + 5n = 0 Combine like terms: 4n + 5n = 9n 13 + 9n = 0 Solving 13 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 9n = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 9n = 0 + -13 9n = 0 + -13 Combine like terms: 0 + -13 = -13 9n = -13 Divide each side by '9'. n = -1.444444444 Simplifying n = -1.444444444
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