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Simplifying (n + 10) * 5 = 7(-1n + 2) Reorder the terms: (10 + n) * 5 = 7(-1n + 2) Reorder the terms for easier multiplication: 5(10 + n) = 7(-1n + 2) (10 * 5 + n * 5) = 7(-1n + 2) (50 + 5n) = 7(-1n + 2) Reorder the terms: 50 + 5n = 7(2 + -1n) 50 + 5n = (2 * 7 + -1n * 7) 50 + 5n = (14 + -7n) Solving 50 + 5n = 14 + -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. 50 + 5n + 7n = 14 + -7n + 7n Combine like terms: 5n + 7n = 12n 50 + 12n = 14 + -7n + 7n Combine like terms: -7n + 7n = 0 50 + 12n = 14 + 0 50 + 12n = 14 Add '-50' to each side of the equation. 50 + -50 + 12n = 14 + -50 Combine like terms: 50 + -50 = 0 0 + 12n = 14 + -50 12n = 14 + -50 Combine like terms: 14 + -50 = -36 12n = -36 Divide each side by '12'. n = -3 Simplifying n = -3
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