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Simplifying -7(n + -5) + -6n = 4n + 1 Reorder the terms: -7(-5 + n) + -6n = 4n + 1 (-5 * -7 + n * -7) + -6n = 4n + 1 (35 + -7n) + -6n = 4n + 1 Combine like terms: -7n + -6n = -13n 35 + -13n = 4n + 1 Reorder the terms: 35 + -13n = 1 + 4n Solving 35 + -13n = 1 + 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. 35 + -13n + -4n = 1 + 4n + -4n Combine like terms: -13n + -4n = -17n 35 + -17n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 35 + -17n = 1 + 0 35 + -17n = 1 Add '-35' to each side of the equation. 35 + -35 + -17n = 1 + -35 Combine like terms: 35 + -35 = 0 0 + -17n = 1 + -35 -17n = 1 + -35 Combine like terms: 1 + -35 = -34 -17n = -34 Divide each side by '-17'. n = 2 Simplifying n = 2
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