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Simplifying 4n + -12 + -7n = 6 + -2n + 1n Reorder the terms: -12 + 4n + -7n = 6 + -2n + 1n Combine like terms: 4n + -7n = -3n -12 + -3n = 6 + -2n + 1n Combine like terms: -2n + 1n = -1n -12 + -3n = 6 + -1n Solving -12 + -3n = 6 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -12 + -3n + n = 6 + -1n + n Combine like terms: -3n + n = -2n -12 + -2n = 6 + -1n + n Combine like terms: -1n + n = 0 -12 + -2n = 6 + 0 -12 + -2n = 6 Add '12' to each side of the equation. -12 + 12 + -2n = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -2n = 6 + 12 -2n = 6 + 12 Combine like terms: 6 + 12 = 18 -2n = 18 Divide each side by '-2'. n = -9 Simplifying n = -9
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