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Simplifying 6 + -7n = 3(n + 6) + -6n Reorder the terms: 6 + -7n = 3(6 + n) + -6n 6 + -7n = (6 * 3 + n * 3) + -6n 6 + -7n = (18 + 3n) + -6n Combine like terms: 3n + -6n = -3n 6 + -7n = 18 + -3n Solving 6 + -7n = 18 + -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. 6 + -7n + 3n = 18 + -3n + 3n Combine like terms: -7n + 3n = -4n 6 + -4n = 18 + -3n + 3n Combine like terms: -3n + 3n = 0 6 + -4n = 18 + 0 6 + -4n = 18 Add '-6' to each side of the equation. 6 + -6 + -4n = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -4n = 18 + -6 -4n = 18 + -6 Combine like terms: 18 + -6 = 12 -4n = 12 Divide each side by '-4'. n = -3 Simplifying n = -3
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