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Simplifying 3n + -8 = 7n + 32 Reorder the terms: -8 + 3n = 7n + 32 Reorder the terms: -8 + 3n = 32 + 7n Solving -8 + 3n = 32 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -8 + 3n + -7n = 32 + 7n + -7n Combine like terms: 3n + -7n = -4n -8 + -4n = 32 + 7n + -7n Combine like terms: 7n + -7n = 0 -8 + -4n = 32 + 0 -8 + -4n = 32 Add '8' to each side of the equation. -8 + 8 + -4n = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -4n = 32 + 8 -4n = 32 + 8 Combine like terms: 32 + 8 = 40 -4n = 40 Divide each side by '-4'. n = -10 Simplifying n = -10
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