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Simplifying -4(n + 2) = 3 + 7n Reorder the terms: -4(2 + n) = 3 + 7n (2 * -4 + n * -4) = 3 + 7n (-8 + -4n) = 3 + 7n Solving -8 + -4n = 3 + 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. -8 + -4n + -7n = 3 + 7n + -7n Combine like terms: -4n + -7n = -11n -8 + -11n = 3 + 7n + -7n Combine like terms: 7n + -7n = 0 -8 + -11n = 3 + 0 -8 + -11n = 3 Add '8' to each side of the equation. -8 + 8 + -11n = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -11n = 3 + 8 -11n = 3 + 8 Combine like terms: 3 + 8 = 11 -11n = 11 Divide each side by '-11'. n = -1 Simplifying n = -1
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