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Simplifying 30 = -4(5n + -5) + 5(2 + n) Reorder the terms: 30 = -4(-5 + 5n) + 5(2 + n) 30 = (-5 * -4 + 5n * -4) + 5(2 + n) 30 = (20 + -20n) + 5(2 + n) 30 = 20 + -20n + (2 * 5 + n * 5) 30 = 20 + -20n + (10 + 5n) Reorder the terms: 30 = 20 + 10 + -20n + 5n Combine like terms: 20 + 10 = 30 30 = 30 + -20n + 5n Combine like terms: -20n + 5n = -15n 30 = 30 + -15n Add '-30' to each side of the equation. 30 + -30 = 30 + -30 + -15n Combine like terms: 30 + -30 = 0 0 = 30 + -30 + -15n Combine like terms: 30 + -30 = 0 0 = 0 + -15n 0 = -15n Solving 0 = -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 0 + 15n = -15n + 15n Remove the zero: 15n = -15n + 15n Combine like terms: -15n + 15n = 0 15n = 0 Divide each side by '15'. n = 0 Simplifying n = 0
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