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Simplifying 2(8 + 2n) = -4(-11n + 6) (8 * 2 + 2n * 2) = -4(-11n + 6) (16 + 4n) = -4(-11n + 6) Reorder the terms: 16 + 4n = -4(6 + -11n) 16 + 4n = (6 * -4 + -11n * -4) 16 + 4n = (-24 + 44n) Solving 16 + 4n = -24 + 44n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44n' to each side of the equation. 16 + 4n + -44n = -24 + 44n + -44n Combine like terms: 4n + -44n = -40n 16 + -40n = -24 + 44n + -44n Combine like terms: 44n + -44n = 0 16 + -40n = -24 + 0 16 + -40n = -24 Add '-16' to each side of the equation. 16 + -16 + -40n = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -40n = -24 + -16 -40n = -24 + -16 Combine like terms: -24 + -16 = -40 -40n = -40 Divide each side by '-40'. n = 1 Simplifying n = 1
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