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Simplifying 1 + -1(2n + 9) = 4(n + -2) Reorder the terms: 1 + -1(9 + 2n) = 4(n + -2) 1 + (9 * -1 + 2n * -1) = 4(n + -2) 1 + (-9 + -2n) = 4(n + -2) Combine like terms: 1 + -9 = -8 -8 + -2n = 4(n + -2) Reorder the terms: -8 + -2n = 4(-2 + n) -8 + -2n = (-2 * 4 + n * 4) -8 + -2n = (-8 + 4n) Add '8' to each side of the equation. -8 + 8 + -2n = -8 + 8 + 4n Combine like terms: -8 + 8 = 0 0 + -2n = -8 + 8 + 4n -2n = -8 + 8 + 4n Combine like terms: -8 + 8 = 0 -2n = 0 + 4n -2n = 4n Solving -2n = 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. -2n + -4n = 4n + -4n Combine like terms: -2n + -4n = -6n -6n = 4n + -4n Combine like terms: 4n + -4n = 0 -6n = 0 Divide each side by '-6'. n = 0 Simplifying n = 0
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