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Simplifying 3n + -32 = 5(n + -8) Reorder the terms: -32 + 3n = 5(n + -8) Reorder the terms: -32 + 3n = 5(-8 + n) -32 + 3n = (-8 * 5 + n * 5) -32 + 3n = (-40 + 5n) Solving -32 + 3n = -40 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -32 + 3n + -5n = -40 + 5n + -5n Combine like terms: 3n + -5n = -2n -32 + -2n = -40 + 5n + -5n Combine like terms: 5n + -5n = 0 -32 + -2n = -40 + 0 -32 + -2n = -40 Add '32' to each side of the equation. -32 + 32 + -2n = -40 + 32 Combine like terms: -32 + 32 = 0 0 + -2n = -40 + 32 -2n = -40 + 32 Combine like terms: -40 + 32 = -8 -2n = -8 Divide each side by '-2'. n = 4 Simplifying n = 4
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