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Simplifying 67 = 5 + 2(6n + -5) Reorder the terms: 67 = 5 + 2(-5 + 6n) 67 = 5 + (-5 * 2 + 6n * 2) 67 = 5 + (-10 + 12n) Combine like terms: 5 + -10 = -5 67 = -5 + 12n Solving 67 = -5 + 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. 67 + -12n = -5 + 12n + -12n Combine like terms: 12n + -12n = 0 67 + -12n = -5 + 0 67 + -12n = -5 Add '-67' to each side of the equation. 67 + -67 + -12n = -5 + -67 Combine like terms: 67 + -67 = 0 0 + -12n = -5 + -67 -12n = -5 + -67 Combine like terms: -5 + -67 = -72 -12n = -72 Divide each side by '-12'. n = 6 Simplifying n = 6
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