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Simplifying 4(n + -9) + 12 = 5(2) Reorder the terms: 4(-9 + n) + 12 = 5(2) (-9 * 4 + n * 4) + 12 = 5(2) (-36 + 4n) + 12 = 5(2) Reorder the terms: -36 + 12 + 4n = 5(2) Combine like terms: -36 + 12 = -24 -24 + 4n = 5(2) Multiply 5 * 2 -24 + 4n = 10 Solving -24 + 4n = 10 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 4n = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 4n = 10 + 24 4n = 10 + 24 Combine like terms: 10 + 24 = 34 4n = 34 Divide each side by '4'. n = 8.5 Simplifying n = 8.5
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