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Simplifying 6n + -6 = 12n + 36 Reorder the terms: -6 + 6n = 12n + 36 Reorder the terms: -6 + 6n = 36 + 12n Solving -6 + 6n = 36 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -6 + 6n + -12n = 36 + 12n + -12n Combine like terms: 6n + -12n = -6n -6 + -6n = 36 + 12n + -12n Combine like terms: 12n + -12n = 0 -6 + -6n = 36 + 0 -6 + -6n = 36 Add '6' to each side of the equation. -6 + 6 + -6n = 36 + 6 Combine like terms: -6 + 6 = 0 0 + -6n = 36 + 6 -6n = 36 + 6 Combine like terms: 36 + 6 = 42 -6n = 42 Divide each side by '-6'. n = -7 Simplifying n = -7
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