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Simplifying 4 + n + -9 = 4 + 2n Reorder the terms: 4 + -9 + n = 4 + 2n Combine like terms: 4 + -9 = -5 -5 + n = 4 + 2n Solving -5 + n = 4 + 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 = 4 + 2n + -2n Combine like terms: n + -2n = -1n -5 + -1n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + -1n = 4 + 0 -5 + -1n = 4 Add '5' to each side of the equation. -5 + 5 + -1n = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -1n = 4 + 5 -1n = 4 + 5 Combine like terms: 4 + 5 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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