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Simplifying -7(n + -2) + 2(n + 1) = 0 Reorder the terms: -7(-2 + n) + 2(n + 1) = 0 (-2 * -7 + n * -7) + 2(n + 1) = 0 (14 + -7n) + 2(n + 1) = 0 Reorder the terms: 14 + -7n + 2(1 + n) = 0 14 + -7n + (1 * 2 + n * 2) = 0 14 + -7n + (2 + 2n) = 0 Reorder the terms: 14 + 2 + -7n + 2n = 0 Combine like terms: 14 + 2 = 16 16 + -7n + 2n = 0 Combine like terms: -7n + 2n = -5n 16 + -5n = 0 Solving 16 + -5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -5n = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -5n = 0 + -16 -5n = 0 + -16 Combine like terms: 0 + -16 = -16 -5n = -16 Divide each side by '-5'. n = 3.2 Simplifying n = 3.2
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