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Simplifying -27 + 7n = 4(n + -4) + 7 Reorder the terms: -27 + 7n = 4(-4 + n) + 7 -27 + 7n = (-4 * 4 + n * 4) + 7 -27 + 7n = (-16 + 4n) + 7 Reorder the terms: -27 + 7n = -16 + 7 + 4n Combine like terms: -16 + 7 = -9 -27 + 7n = -9 + 4n Solving -27 + 7n = -9 + 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. -27 + 7n + -4n = -9 + 4n + -4n Combine like terms: 7n + -4n = 3n -27 + 3n = -9 + 4n + -4n Combine like terms: 4n + -4n = 0 -27 + 3n = -9 + 0 -27 + 3n = -9 Add '27' to each side of the equation. -27 + 27 + 3n = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 3n = -9 + 27 3n = -9 + 27 Combine like terms: -9 + 27 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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