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Simplifying 4 + n + -9 = 9 + 1 + 2n + 12 Reorder the terms: 4 + -9 + n = 9 + 1 + 2n + 12 Combine like terms: 4 + -9 = -5 -5 + n = 9 + 1 + 2n + 12 Reorder the terms: -5 + n = 9 + 1 + 12 + 2n Combine like terms: 9 + 1 = 10 -5 + n = 10 + 12 + 2n Combine like terms: 10 + 12 = 22 -5 + n = 22 + 2n Solving -5 + n = 22 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -5 + n + -2n = 22 + 2n + -2n Combine like terms: n + -2n = -1n -5 + -1n = 22 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + -1n = 22 + 0 -5 + -1n = 22 Add '5' to each side of the equation. -5 + 5 + -1n = 22 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 22 + 5 -1n = 22 + 5 Combine like terms: 22 + 5 = 27 -1n = 27 Divide each side by '-1'. n = -27 Simplifying n = -27
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