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Simplifying 3n + -5 = -8(4n + 5) Reorder the terms: -5 + 3n = -8(4n + 5) Reorder the terms: -5 + 3n = -8(5 + 4n) -5 + 3n = (5 * -8 + 4n * -8) -5 + 3n = (-40 + -32n) Solving -5 + 3n = -40 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -5 + 3n + 32n = -40 + -32n + 32n Combine like terms: 3n + 32n = 35n -5 + 35n = -40 + -32n + 32n Combine like terms: -32n + 32n = 0 -5 + 35n = -40 + 0 -5 + 35n = -40 Add '5' to each side of the equation. -5 + 5 + 35n = -40 + 5 Combine like terms: -5 + 5 = 0 0 + 35n = -40 + 5 35n = -40 + 5 Combine like terms: -40 + 5 = -35 35n = -35 Divide each side by '35'. n = -1 Simplifying n = -1
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