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Simplifying (n + -5)(-7) = n Reorder the terms: (-5 + n)(-7) = n Reorder the terms for easier multiplication: -7(-5 + n) = n (-5 * -7 + n * -7) = n (35 + -7n) = n Solving 35 + -7n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 35 + -7n + -1n = n + -1n Combine like terms: -7n + -1n = -8n 35 + -8n = n + -1n Combine like terms: n + -1n = 0 35 + -8n = 0 Add '-35' to each side of the equation. 35 + -35 + -8n = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -8n = 0 + -35 -8n = 0 + -35 Combine like terms: 0 + -35 = -35 -8n = -35 Divide each side by '-8'. n = 4.375 Simplifying n = 4.375
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