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Simplifying 56 + 4n = 4n + -8(3n + 5) Reorder the terms: 56 + 4n = 4n + -8(5 + 3n) 56 + 4n = 4n + (5 * -8 + 3n * -8) 56 + 4n = 4n + (-40 + -24n) Reorder the terms: 56 + 4n = -40 + 4n + -24n Combine like terms: 4n + -24n = -20n 56 + 4n = -40 + -20n Solving 56 + 4n = -40 + -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. 56 + 4n + 20n = -40 + -20n + 20n Combine like terms: 4n + 20n = 24n 56 + 24n = -40 + -20n + 20n Combine like terms: -20n + 20n = 0 56 + 24n = -40 + 0 56 + 24n = -40 Add '-56' to each side of the equation. 56 + -56 + 24n = -40 + -56 Combine like terms: 56 + -56 = 0 0 + 24n = -40 + -56 24n = -40 + -56 Combine like terms: -40 + -56 = -96 24n = -96 Divide each side by '24'. n = -4 Simplifying n = -4
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