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Simplifying -27 + 3n = 7(n + -2) Reorder the terms: -27 + 3n = 7(-2 + n) -27 + 3n = (-2 * 7 + n * 7) -27 + 3n = (-14 + 7n) Solving -27 + 3n = -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. -27 + 3n + -7n = -14 + 7n + -7n Combine like terms: 3n + -7n = -4n -27 + -4n = -14 + 7n + -7n Combine like terms: 7n + -7n = 0 -27 + -4n = -14 + 0 -27 + -4n = -14 Add '27' to each side of the equation. -27 + 27 + -4n = -14 + 27 Combine like terms: -27 + 27 = 0 0 + -4n = -14 + 27 -4n = -14 + 27 Combine like terms: -14 + 27 = 13 -4n = 13 Divide each side by '-4'. n = -3.25 Simplifying n = -3.25
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