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Simplifying -1(4n + -7) = -15 + 7n Reorder the terms: -1(-7 + 4n) = -15 + 7n (-7 * -1 + 4n * -1) = -15 + 7n (7 + -4n) = -15 + 7n Solving 7 + -4n = -15 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 7 + -4n + -7n = -15 + 7n + -7n Combine like terms: -4n + -7n = -11n 7 + -11n = -15 + 7n + -7n Combine like terms: 7n + -7n = 0 7 + -11n = -15 + 0 7 + -11n = -15 Add '-7' to each side of the equation. 7 + -7 + -11n = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -11n = -15 + -7 -11n = -15 + -7 Combine like terms: -15 + -7 = -22 -11n = -22 Divide each side by '-11'. n = 2 Simplifying n = 2
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