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Simplifying -5(n + -1) = 7(n + 3) Reorder the terms: -5(-1 + n) = 7(n + 3) (-1 * -5 + n * -5) = 7(n + 3) (5 + -5n) = 7(n + 3) Reorder the terms: 5 + -5n = 7(3 + n) 5 + -5n = (3 * 7 + n * 7) 5 + -5n = (21 + 7n) Solving 5 + -5n = 21 + 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. 5 + -5n + -7n = 21 + 7n + -7n Combine like terms: -5n + -7n = -12n 5 + -12n = 21 + 7n + -7n Combine like terms: 7n + -7n = 0 5 + -12n = 21 + 0 5 + -12n = 21 Add '-5' to each side of the equation. 5 + -5 + -12n = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -12n = 21 + -5 -12n = 21 + -5 Combine like terms: 21 + -5 = 16 -12n = 16 Divide each side by '-12'. n = -1.333333333 Simplifying n = -1.333333333
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