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Simplifying 4(n + -1) = 2 + 7n Reorder the terms: 4(-1 + n) = 2 + 7n (-1 * 4 + n * 4) = 2 + 7n (-4 + 4n) = 2 + 7n Solving -4 + 4n = 2 + 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 = 2 + 7n + -7n Combine like terms: 4n + -7n = -3n -4 + -3n = 2 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + -3n = 2 + 0 -4 + -3n = 2 Add '4' to each side of the equation. -4 + 4 + -3n = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -3n = 2 + 4 -3n = 2 + 4 Combine like terms: 2 + 4 = 6 -3n = 6 Divide each side by '-3'. n = -2 Simplifying n = -2
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