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Simplifying -1n + -25 = -1(7n + -5) Reorder the terms: -25 + -1n = -1(7n + -5) Reorder the terms: -25 + -1n = -1(-5 + 7n) -25 + -1n = (-5 * -1 + 7n * -1) -25 + -1n = (5 + -7n) Solving -25 + -1n = 5 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -25 + -1n + 7n = 5 + -7n + 7n Combine like terms: -1n + 7n = 6n -25 + 6n = 5 + -7n + 7n Combine like terms: -7n + 7n = 0 -25 + 6n = 5 + 0 -25 + 6n = 5 Add '25' to each side of the equation. -25 + 25 + 6n = 5 + 25 Combine like terms: -25 + 25 = 0 0 + 6n = 5 + 25 6n = 5 + 25 Combine like terms: 5 + 25 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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