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Simplifying -1n + 7 = -7(n + 5) Reorder the terms: 7 + -1n = -7(n + 5) Reorder the terms: 7 + -1n = -7(5 + n) 7 + -1n = (5 * -7 + n * -7) 7 + -1n = (-35 + -7n) Solving 7 + -1n = -35 + -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. 7 + -1n + 7n = -35 + -7n + 7n Combine like terms: -1n + 7n = 6n 7 + 6n = -35 + -7n + 7n Combine like terms: -7n + 7n = 0 7 + 6n = -35 + 0 7 + 6n = -35 Add '-7' to each side of the equation. 7 + -7 + 6n = -35 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = -35 + -7 6n = -35 + -7 Combine like terms: -35 + -7 = -42 6n = -42 Divide each side by '6'. n = -7 Simplifying n = -7
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