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Simplifying -7n + 14 = -5(n + -4) Reorder the terms: 14 + -7n = -5(n + -4) Reorder the terms: 14 + -7n = -5(-4 + n) 14 + -7n = (-4 * -5 + n * -5) 14 + -7n = (20 + -5n) Solving 14 + -7n = 20 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 14 + -7n + 5n = 20 + -5n + 5n Combine like terms: -7n + 5n = -2n 14 + -2n = 20 + -5n + 5n Combine like terms: -5n + 5n = 0 14 + -2n = 20 + 0 14 + -2n = 20 Add '-14' to each side of the equation. 14 + -14 + -2n = 20 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = 20 + -14 -2n = 20 + -14 Combine like terms: 20 + -14 = 6 -2n = 6 Divide each side by '-2'. n = -3 Simplifying n = -3
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