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Simplifying 7 + -6(-8 + 2n) + n = 0 7 + (-8 * -6 + 2n * -6) + n = 0 7 + (48 + -12n) + n = 0 Combine like terms: 7 + 48 = 55 55 + -12n + n = 0 Combine like terms: -12n + n = -11n 55 + -11n = 0 Solving 55 + -11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -11n = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -11n = 0 + -55 -11n = 0 + -55 Combine like terms: 0 + -55 = -55 -11n = -55 Divide each side by '-11'. n = 5 Simplifying n = 5
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