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Simplifying 8 = -4(n + 7) Reorder the terms: 8 = -4(7 + n) 8 = (7 * -4 + n * -4) 8 = (-28 + -4n) Solving 8 = -28 + -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. 8 + 4n = -28 + -4n + 4n Combine like terms: -4n + 4n = 0 8 + 4n = -28 + 0 8 + 4n = -28 Add '-8' to each side of the equation. 8 + -8 + 4n = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 4n = -28 + -8 4n = -28 + -8 Combine like terms: -28 + -8 = -36 4n = -36 Divide each side by '4'. n = -9 Simplifying n = -9
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