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Simplifying -7n + -3 = -2(6n + -6) Reorder the terms: -3 + -7n = -2(6n + -6) Reorder the terms: -3 + -7n = -2(-6 + 6n) -3 + -7n = (-6 * -2 + 6n * -2) -3 + -7n = (12 + -12n) Solving -3 + -7n = 12 + -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. -3 + -7n + 12n = 12 + -12n + 12n Combine like terms: -7n + 12n = 5n -3 + 5n = 12 + -12n + 12n Combine like terms: -12n + 12n = 0 -3 + 5n = 12 + 0 -3 + 5n = 12 Add '3' to each side of the equation. -3 + 3 + 5n = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5n = 12 + 3 5n = 12 + 3 Combine like terms: 12 + 3 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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