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Simplifying 27 + -4n = -5(2n + -4) + 5n Reorder the terms: 27 + -4n = -5(-4 + 2n) + 5n 27 + -4n = (-4 * -5 + 2n * -5) + 5n 27 + -4n = (20 + -10n) + 5n Combine like terms: -10n + 5n = -5n 27 + -4n = 20 + -5n Solving 27 + -4n = 20 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 27 + -4n + 5n = 20 + -5n + 5n Combine like terms: -4n + 5n = 1n 27 + 1n = 20 + -5n + 5n Combine like terms: -5n + 5n = 0 27 + 1n = 20 + 0 27 + 1n = 20 Add '-27' to each side of the equation. 27 + -27 + 1n = 20 + -27 Combine like terms: 27 + -27 = 0 0 + 1n = 20 + -27 1n = 20 + -27 Combine like terms: 20 + -27 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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