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Simplifying -14 + 2n = -4(n + 5) Reorder the terms: -14 + 2n = -4(5 + n) -14 + 2n = (5 * -4 + n * -4) -14 + 2n = (-20 + -4n) Solving -14 + 2n = -20 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -14 + 2n + 4n = -20 + -4n + 4n Combine like terms: 2n + 4n = 6n -14 + 6n = -20 + -4n + 4n Combine like terms: -4n + 4n = 0 -14 + 6n = -20 + 0 -14 + 6n = -20 Add '14' to each side of the equation. -14 + 14 + 6n = -20 + 14 Combine like terms: -14 + 14 = 0 0 + 6n = -20 + 14 6n = -20 + 14 Combine like terms: -20 + 14 = -6 6n = -6 Divide each side by '6'. n = -1 Simplifying n = -1
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