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Simplifying -12 + 3n = -1(2n + 7) Reorder the terms: -12 + 3n = -1(7 + 2n) -12 + 3n = (7 * -1 + 2n * -1) -12 + 3n = (-7 + -2n) Solving -12 + 3n = -7 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -12 + 3n + 2n = -7 + -2n + 2n Combine like terms: 3n + 2n = 5n -12 + 5n = -7 + -2n + 2n Combine like terms: -2n + 2n = 0 -12 + 5n = -7 + 0 -12 + 5n = -7 Add '12' to each side of the equation. -12 + 12 + 5n = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 5n = -7 + 12 5n = -7 + 12 Combine like terms: -7 + 12 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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