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Simplifying -7(n + -7) + -5 = -3n + 12 Reorder the terms: -7(-7 + n) + -5 = -3n + 12 (-7 * -7 + n * -7) + -5 = -3n + 12 (49 + -7n) + -5 = -3n + 12 Reorder the terms: 49 + -5 + -7n = -3n + 12 Combine like terms: 49 + -5 = 44 44 + -7n = -3n + 12 Reorder the terms: 44 + -7n = 12 + -3n Solving 44 + -7n = 12 + -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. 44 + -7n + 3n = 12 + -3n + 3n Combine like terms: -7n + 3n = -4n 44 + -4n = 12 + -3n + 3n Combine like terms: -3n + 3n = 0 44 + -4n = 12 + 0 44 + -4n = 12 Add '-44' to each side of the equation. 44 + -44 + -4n = 12 + -44 Combine like terms: 44 + -44 = 0 0 + -4n = 12 + -44 -4n = 12 + -44 Combine like terms: 12 + -44 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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