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