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Simplifying -27 + -7n = 8(-4n + 6) Reorder the terms: -27 + -7n = 8(6 + -4n) -27 + -7n = (6 * 8 + -4n * 8) -27 + -7n = (48 + -32n) Solving -27 + -7n = 48 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -27 + -7n + 32n = 48 + -32n + 32n Combine like terms: -7n + 32n = 25n -27 + 25n = 48 + -32n + 32n Combine like terms: -32n + 32n = 0 -27 + 25n = 48 + 0 -27 + 25n = 48 Add '27' to each side of the equation. -27 + 27 + 25n = 48 + 27 Combine like terms: -27 + 27 = 0 0 + 25n = 48 + 27 25n = 48 + 27 Combine like terms: 48 + 27 = 75 25n = 75 Divide each side by '25'. n = 3 Simplifying n = 3
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