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Simplifying 2(2n + -2) = (7n + 1) + 8 Reorder the terms: 2(-2 + 2n) = (7n + 1) + 8 (-2 * 2 + 2n * 2) = (7n + 1) + 8 (-4 + 4n) = (7n + 1) + 8 Reorder the terms: -4 + 4n = (1 + 7n) + 8 Remove parenthesis around (1 + 7n) -4 + 4n = 1 + 7n + 8 Reorder the terms: -4 + 4n = 1 + 8 + 7n Combine like terms: 1 + 8 = 9 -4 + 4n = 9 + 7n Solving -4 + 4n = 9 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -4 + 4n + -7n = 9 + 7n + -7n Combine like terms: 4n + -7n = -3n -4 + -3n = 9 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + -3n = 9 + 0 -4 + -3n = 9 Add '4' to each side of the equation. -4 + 4 + -3n = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -3n = 9 + 4 -3n = 9 + 4 Combine like terms: 9 + 4 = 13 -3n = 13 Divide each side by '-3'. n = -4.333333333 Simplifying n = -4.333333333
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