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Simplifying 27 + -2n = -4(n + -8) + n Reorder the terms: 27 + -2n = -4(-8 + n) + n 27 + -2n = (-8 * -4 + n * -4) + n 27 + -2n = (32 + -4n) + n Combine like terms: -4n + n = -3n 27 + -2n = 32 + -3n Solving 27 + -2n = 32 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 27 + -2n + 3n = 32 + -3n + 3n Combine like terms: -2n + 3n = 1n 27 + 1n = 32 + -3n + 3n Combine like terms: -3n + 3n = 0 27 + 1n = 32 + 0 27 + 1n = 32 Add '-27' to each side of the equation. 27 + -27 + 1n = 32 + -27 Combine like terms: 27 + -27 = 0 0 + 1n = 32 + -27 1n = 32 + -27 Combine like terms: 32 + -27 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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