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Simplifying 5 + 7n = -4(-8 + 5n) 5 + 7n = (-8 * -4 + 5n * -4) 5 + 7n = (32 + -20n) Solving 5 + 7n = 32 + -20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '20n' to each side of the equation. 5 + 7n + 20n = 32 + -20n + 20n Combine like terms: 7n + 20n = 27n 5 + 27n = 32 + -20n + 20n Combine like terms: -20n + 20n = 0 5 + 27n = 32 + 0 5 + 27n = 32 Add '-5' to each side of the equation. 5 + -5 + 27n = 32 + -5 Combine like terms: 5 + -5 = 0 0 + 27n = 32 + -5 27n = 32 + -5 Combine like terms: 32 + -5 = 27 27n = 27 Divide each side by '27'. n = 1 Simplifying n = 1
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