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Simplifying -1(-4n + -7) = 35 + -3n Reorder the terms: -1(-7 + -4n) = 35 + -3n (-7 * -1 + -4n * -1) = 35 + -3n (7 + 4n) = 35 + -3n Solving 7 + 4n = 35 + -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 + 4n + 3n = 35 + -3n + 3n Combine like terms: 4n + 3n = 7n 7 + 7n = 35 + -3n + 3n Combine like terms: -3n + 3n = 0 7 + 7n = 35 + 0 7 + 7n = 35 Add '-7' to each side of the equation. 7 + -7 + 7n = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 7n = 35 + -7 7n = 35 + -7 Combine like terms: 35 + -7 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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