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Simplifying 4 + 4n = -8(5n + 5) Reorder the terms: 4 + 4n = -8(5 + 5n) 4 + 4n = (5 * -8 + 5n * -8) 4 + 4n = (-40 + -40n) Solving 4 + 4n = -40 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. 4 + 4n + 40n = -40 + -40n + 40n Combine like terms: 4n + 40n = 44n 4 + 44n = -40 + -40n + 40n Combine like terms: -40n + 40n = 0 4 + 44n = -40 + 0 4 + 44n = -40 Add '-4' to each side of the equation. 4 + -4 + 44n = -40 + -4 Combine like terms: 4 + -4 = 0 0 + 44n = -40 + -4 44n = -40 + -4 Combine like terms: -40 + -4 = -44 44n = -44 Divide each side by '44'. n = -1 Simplifying n = -1
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