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Simplifying -3(1 + n) = -11(4 + 4n) (1 * -3 + n * -3) = -11(4 + 4n) (-3 + -3n) = -11(4 + 4n) -3 + -3n = (4 * -11 + 4n * -11) -3 + -3n = (-44 + -44n) Solving -3 + -3n = -44 + -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. -3 + -3n + 44n = -44 + -44n + 44n Combine like terms: -3n + 44n = 41n -3 + 41n = -44 + -44n + 44n Combine like terms: -44n + 44n = 0 -3 + 41n = -44 + 0 -3 + 41n = -44 Add '3' to each side of the equation. -3 + 3 + 41n = -44 + 3 Combine like terms: -3 + 3 = 0 0 + 41n = -44 + 3 41n = -44 + 3 Combine like terms: -44 + 3 = -41 41n = -41 Divide each side by '41'. n = -1 Simplifying n = -1
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