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Simplifying 2n + -1 = -1(4n + 2) + -5 Reorder the terms: -1 + 2n = -1(4n + 2) + -5 Reorder the terms: -1 + 2n = -1(2 + 4n) + -5 -1 + 2n = (2 * -1 + 4n * -1) + -5 -1 + 2n = (-2 + -4n) + -5 Reorder the terms: -1 + 2n = -2 + -5 + -4n Combine like terms: -2 + -5 = -7 -1 + 2n = -7 + -4n Solving -1 + 2n = -7 + -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. -1 + 2n + 4n = -7 + -4n + 4n Combine like terms: 2n + 4n = 6n -1 + 6n = -7 + -4n + 4n Combine like terms: -4n + 4n = 0 -1 + 6n = -7 + 0 -1 + 6n = -7 Add '1' to each side of the equation. -1 + 1 + 6n = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 6n = -7 + 1 6n = -7 + 1 Combine like terms: -7 + 1 = -6 6n = -6 Divide each side by '6'. n = -1 Simplifying n = -1
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