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Simplifying -1(n + -7) = 32 + 4n Reorder the terms: -1(-7 + n) = 32 + 4n (-7 * -1 + n * -1) = 32 + 4n (7 + -1n) = 32 + 4n Solving 7 + -1n = 32 + 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. 7 + -1n + -4n = 32 + 4n + -4n Combine like terms: -1n + -4n = -5n 7 + -5n = 32 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + -5n = 32 + 0 7 + -5n = 32 Add '-7' to each side of the equation. 7 + -7 + -5n = 32 + -7 Combine like terms: 7 + -7 = 0 0 + -5n = 32 + -7 -5n = 32 + -7 Combine like terms: 32 + -7 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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