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Simplifying 2 + -32 = -7n + -12 + 3n Combine like terms: 2 + -32 = -30 -30 = -7n + -12 + 3n Reorder the terms: -30 = -12 + -7n + 3n Combine like terms: -7n + 3n = -4n -30 = -12 + -4n Solving -30 = -12 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -30 + 4n = -12 + -4n + 4n Combine like terms: -4n + 4n = 0 -30 + 4n = -12 + 0 -30 + 4n = -12 Add '30' to each side of the equation. -30 + 30 + 4n = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 4n = -12 + 30 4n = -12 + 30 Combine like terms: -12 + 30 = 18 4n = 18 Divide each side by '4'. n = 4.5 Simplifying n = 4.5
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