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Simplifying -7(n + -3) + 4(n + 1) = 0 Reorder the terms: -7(-3 + n) + 4(n + 1) = 0 (-3 * -7 + n * -7) + 4(n + 1) = 0 (21 + -7n) + 4(n + 1) = 0 Reorder the terms: 21 + -7n + 4(1 + n) = 0 21 + -7n + (1 * 4 + n * 4) = 0 21 + -7n + (4 + 4n) = 0 Reorder the terms: 21 + 4 + -7n + 4n = 0 Combine like terms: 21 + 4 = 25 25 + -7n + 4n = 0 Combine like terms: -7n + 4n = -3n 25 + -3n = 0 Solving 25 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -3n = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3n = 0 + -25 -3n = 0 + -25 Combine like terms: 0 + -25 = -25 -3n = -25 Divide each side by '-3'. n = 8.333333333 Simplifying n = 8.333333333
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