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Simplifying -6(n + 4) + 27 = -4n + -7 Reorder the terms: -6(4 + n) + 27 = -4n + -7 (4 * -6 + n * -6) + 27 = -4n + -7 (-24 + -6n) + 27 = -4n + -7 Reorder the terms: -24 + 27 + -6n = -4n + -7 Combine like terms: -24 + 27 = 3 3 + -6n = -4n + -7 Reorder the terms: 3 + -6n = -7 + -4n Solving 3 + -6n = -7 + -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. 3 + -6n + 4n = -7 + -4n + 4n Combine like terms: -6n + 4n = -2n 3 + -2n = -7 + -4n + 4n Combine like terms: -4n + 4n = 0 3 + -2n = -7 + 0 3 + -2n = -7 Add '-3' to each side of the equation. 3 + -3 + -2n = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -2n = -7 + -3 -2n = -7 + -3 Combine like terms: -7 + -3 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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