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Simplifying 4n + -12 + -7n = 6 + -2n + -9 Reorder the terms: -12 + 4n + -7n = 6 + -2n + -9 Combine like terms: 4n + -7n = -3n -12 + -3n = 6 + -2n + -9 Reorder the terms: -12 + -3n = 6 + -9 + -2n Combine like terms: 6 + -9 = -3 -12 + -3n = -3 + -2n Solving -12 + -3n = -3 + -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. -12 + -3n + 2n = -3 + -2n + 2n Combine like terms: -3n + 2n = -1n -12 + -1n = -3 + -2n + 2n Combine like terms: -2n + 2n = 0 -12 + -1n = -3 + 0 -12 + -1n = -3 Add '12' to each side of the equation. -12 + 12 + -1n = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -1n = -3 + 12 -1n = -3 + 12 Combine like terms: -3 + 12 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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