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Simplifying -7(n + -4) + 3(n + 1) = 0 Reorder the terms: -7(-4 + n) + 3(n + 1) = 0 (-4 * -7 + n * -7) + 3(n + 1) = 0 (28 + -7n) + 3(n + 1) = 0 Reorder the terms: 28 + -7n + 3(1 + n) = 0 28 + -7n + (1 * 3 + n * 3) = 0 28 + -7n + (3 + 3n) = 0 Reorder the terms: 28 + 3 + -7n + 3n = 0 Combine like terms: 28 + 3 = 31 31 + -7n + 3n = 0 Combine like terms: -7n + 3n = -4n 31 + -4n = 0 Solving 31 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -4n = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -4n = 0 + -31 -4n = 0 + -31 Combine like terms: 0 + -31 = -31 -4n = -31 Divide each side by '-4'. n = 7.75 Simplifying n = 7.75
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