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Simplifying 7(4n + -5n + -2) = 0 Reorder the terms: 7(-2 + 4n + -5n) = 0 Combine like terms: 4n + -5n = -1n 7(-2 + -1n) = 0 (-2 * 7 + -1n * 7) = 0 (-14 + -7n) = 0 Solving -14 + -7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -7n = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -7n = 0 + 14 -7n = 0 + 14 Combine like terms: 0 + 14 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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