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Simplifying 27 + -6n = -7(8n + 4) Reorder the terms: 27 + -6n = -7(4 + 8n) 27 + -6n = (4 * -7 + 8n * -7) 27 + -6n = (-28 + -56n) Solving 27 + -6n = -28 + -56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '56n' to each side of the equation. 27 + -6n + 56n = -28 + -56n + 56n Combine like terms: -6n + 56n = 50n 27 + 50n = -28 + -56n + 56n Combine like terms: -56n + 56n = 0 27 + 50n = -28 + 0 27 + 50n = -28 Add '-27' to each side of the equation. 27 + -27 + 50n = -28 + -27 Combine like terms: 27 + -27 = 0 0 + 50n = -28 + -27 50n = -28 + -27 Combine like terms: -28 + -27 = -55 50n = -55 Divide each side by '50'. n = -1.1 Simplifying n = -1.1
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