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Simplifying 5(n + 7) = -1n + -13 Reorder the terms: 5(7 + n) = -1n + -13 (7 * 5 + n * 5) = -1n + -13 (35 + 5n) = -1n + -13 Reorder the terms: 35 + 5n = -13 + -1n Solving 35 + 5n = -13 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 35 + 5n + n = -13 + -1n + n Combine like terms: 5n + n = 6n 35 + 6n = -13 + -1n + n Combine like terms: -1n + n = 0 35 + 6n = -13 + 0 35 + 6n = -13 Add '-35' to each side of the equation. 35 + -35 + 6n = -13 + -35 Combine like terms: 35 + -35 = 0 0 + 6n = -13 + -35 6n = -13 + -35 Combine like terms: -13 + -35 = -48 6n = -48 Divide each side by '6'. n = -8 Simplifying n = -8
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