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