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Simplifying 2 + -1(2n + -3) = 4(n + 1) Reorder the terms: 2 + -1(-3 + 2n) = 4(n + 1) 2 + (-3 * -1 + 2n * -1) = 4(n + 1) 2 + (3 + -2n) = 4(n + 1) Combine like terms: 2 + 3 = 5 5 + -2n = 4(n + 1) Reorder the terms: 5 + -2n = 4(1 + n) 5 + -2n = (1 * 4 + n * 4) 5 + -2n = (4 + 4n) Solving 5 + -2n = 4 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 5 + -2n + -4n = 4 + 4n + -4n Combine like terms: -2n + -4n = -6n 5 + -6n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 5 + -6n = 4 + 0 5 + -6n = 4 Add '-5' to each side of the equation. 5 + -5 + -6n = 4 + -5 Combine like terms: 5 + -5 = 0 0 + -6n = 4 + -5 -6n = 4 + -5 Combine like terms: 4 + -5 = -1 -6n = -1 Divide each side by '-6'. n = 0.1666666667 Simplifying n = 0.1666666667
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