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Simplifying 3(n + -2) + -7(n + -1) = 0 Reorder the terms: 3(-2 + n) + -7(n + -1) = 0 (-2 * 3 + n * 3) + -7(n + -1) = 0 (-6 + 3n) + -7(n + -1) = 0 Reorder the terms: -6 + 3n + -7(-1 + n) = 0 -6 + 3n + (-1 * -7 + n * -7) = 0 -6 + 3n + (7 + -7n) = 0 Reorder the terms: -6 + 7 + 3n + -7n = 0 Combine like terms: -6 + 7 = 1 1 + 3n + -7n = 0 Combine like terms: 3n + -7n = -4n 1 + -4n = 0 Solving 1 + -4n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = 0 + -1 -4n = 0 + -1 Combine like terms: 0 + -1 = -1 -4n = -1 Divide each side by '-4'. n = 0.25 Simplifying n = 0.25
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