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Simplifying -30 + -5n = 2(-6n + 6) Reorder the terms: -30 + -5n = 2(6 + -6n) -30 + -5n = (6 * 2 + -6n * 2) -30 + -5n = (12 + -12n) Solving -30 + -5n = 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. -30 + -5n + 12n = 12 + -12n + 12n Combine like terms: -5n + 12n = 7n -30 + 7n = 12 + -12n + 12n Combine like terms: -12n + 12n = 0 -30 + 7n = 12 + 0 -30 + 7n = 12 Add '30' to each side of the equation. -30 + 30 + 7n = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 7n = 12 + 30 7n = 12 + 30 Combine like terms: 12 + 30 = 42 7n = 42 Divide each side by '7'. n = 6 Simplifying n = 6
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