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Simplifying 6n + -4 = -3n + 32 Reorder the terms: -4 + 6n = -3n + 32 Reorder the terms: -4 + 6n = 32 + -3n Solving -4 + 6n = 32 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -4 + 6n + 3n = 32 + -3n + 3n Combine like terms: 6n + 3n = 9n -4 + 9n = 32 + -3n + 3n Combine like terms: -3n + 3n = 0 -4 + 9n = 32 + 0 -4 + 9n = 32 Add '4' to each side of the equation. -4 + 4 + 9n = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 9n = 32 + 4 9n = 32 + 4 Combine like terms: 32 + 4 = 36 9n = 36 Divide each side by '9'. n = 4 Simplifying n = 4
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