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Simplifying -65 = -1 + 2(6n + -2) Reorder the terms: -65 = -1 + 2(-2 + 6n) -65 = -1 + (-2 * 2 + 6n * 2) -65 = -1 + (-4 + 12n) Combine like terms: -1 + -4 = -5 -65 = -5 + 12n Solving -65 = -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. -65 + -12n = -5 + 12n + -12n Combine like terms: 12n + -12n = 0 -65 + -12n = -5 + 0 -65 + -12n = -5 Add '65' to each side of the equation. -65 + 65 + -12n = -5 + 65 Combine like terms: -65 + 65 = 0 0 + -12n = -5 + 65 -12n = -5 + 65 Combine like terms: -5 + 65 = 60 -12n = 60 Divide each side by '-12'. n = -5 Simplifying n = -5
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