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Simplifying -1(-7n + 6) + 2(2 + 2n) = 42 Reorder the terms: -1(6 + -7n) + 2(2 + 2n) = 42 (6 * -1 + -7n * -1) + 2(2 + 2n) = 42 (-6 + 7n) + 2(2 + 2n) = 42 -6 + 7n + (2 * 2 + 2n * 2) = 42 -6 + 7n + (4 + 4n) = 42 Reorder the terms: -6 + 4 + 7n + 4n = 42 Combine like terms: -6 + 4 = -2 -2 + 7n + 4n = 42 Combine like terms: 7n + 4n = 11n -2 + 11n = 42 Solving -2 + 11n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11n = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 11n = 42 + 2 11n = 42 + 2 Combine like terms: 42 + 2 = 44 11n = 44 Divide each side by '11'. n = 4 Simplifying n = 4
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