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Simplifying 7n + -7n = -5(n + -3) + 4(5 + 3n) Combine like terms: 7n + -7n = 0 0 = -5(n + -3) + 4(5 + 3n) Reorder the terms: 0 = -5(-3 + n) + 4(5 + 3n) 0 = (-3 * -5 + n * -5) + 4(5 + 3n) 0 = (15 + -5n) + 4(5 + 3n) 0 = 15 + -5n + (5 * 4 + 3n * 4) 0 = 15 + -5n + (20 + 12n) Reorder the terms: 0 = 15 + 20 + -5n + 12n Combine like terms: 15 + 20 = 35 0 = 35 + -5n + 12n Combine like terms: -5n + 12n = 7n 0 = 35 + 7n Solving 0 = 35 + 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. 0 + -7n = 35 + 7n + -7n Remove the zero: -7n = 35 + 7n + -7n Combine like terms: 7n + -7n = 0 -7n = 35 + 0 -7n = 35 Divide each side by '-7'. n = -5 Simplifying n = -5
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