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Simplifying 7n + -31 = -1(2 + 4n) + 4 Reorder the terms: -31 + 7n = -1(2 + 4n) + 4 -31 + 7n = (2 * -1 + 4n * -1) + 4 -31 + 7n = (-2 + -4n) + 4 Reorder the terms: -31 + 7n = -2 + 4 + -4n Combine like terms: -2 + 4 = 2 -31 + 7n = 2 + -4n Solving -31 + 7n = 2 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -31 + 7n + 4n = 2 + -4n + 4n Combine like terms: 7n + 4n = 11n -31 + 11n = 2 + -4n + 4n Combine like terms: -4n + 4n = 0 -31 + 11n = 2 + 0 -31 + 11n = 2 Add '31' to each side of the equation. -31 + 31 + 11n = 2 + 31 Combine like terms: -31 + 31 = 0 0 + 11n = 2 + 31 11n = 2 + 31 Combine like terms: 2 + 31 = 33 11n = 33 Divide each side by '11'. n = 3 Simplifying n = 3
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