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Simplifying -7(1 + 2n) = 27 + 3n (1 * -7 + 2n * -7) = 27 + 3n (-7 + -14n) = 27 + 3n Solving -7 + -14n = 27 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -7 + -14n + -3n = 27 + 3n + -3n Combine like terms: -14n + -3n = -17n -7 + -17n = 27 + 3n + -3n Combine like terms: 3n + -3n = 0 -7 + -17n = 27 + 0 -7 + -17n = 27 Add '7' to each side of the equation. -7 + 7 + -17n = 27 + 7 Combine like terms: -7 + 7 = 0 0 + -17n = 27 + 7 -17n = 27 + 7 Combine like terms: 27 + 7 = 34 -17n = 34 Divide each side by '-17'. n = -2 Simplifying n = -2
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