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Simplifying -7(n + -4) + 4(n + 1) = 0 Reorder the terms: -7(-4 + n) + 4(n + 1) = 0 (-4 * -7 + n * -7) + 4(n + 1) = 0 (28 + -7n) + 4(n + 1) = 0 Reorder the terms: 28 + -7n + 4(1 + n) = 0 28 + -7n + (1 * 4 + n * 4) = 0 28 + -7n + (4 + 4n) = 0 Reorder the terms: 28 + 4 + -7n + 4n = 0 Combine like terms: 28 + 4 = 32 32 + -7n + 4n = 0 Combine like terms: -7n + 4n = -3n 32 + -3n = 0 Solving 32 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -3n = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -3n = 0 + -32 -3n = 0 + -32 Combine like terms: 0 + -32 = -32 -3n = -32 Divide each side by '-3'. n = 10.66666667 Simplifying n = 10.66666667
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