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Simplifying -1(2n + 7) = -32 + 3n Reorder the terms: -1(7 + 2n) = -32 + 3n (7 * -1 + 2n * -1) = -32 + 3n (-7 + -2n) = -32 + 3n Solving -7 + -2n = -32 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -7 + -2n + -3n = -32 + 3n + -3n Combine like terms: -2n + -3n = -5n -7 + -5n = -32 + 3n + -3n Combine like terms: 3n + -3n = 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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