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Simplifying 4n + -2 = -2(-7 + -3n) Reorder the terms: -2 + 4n = -2(-7 + -3n) -2 + 4n = (-7 * -2 + -3n * -2) -2 + 4n = (14 + 6n) Solving -2 + 4n = 14 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -2 + 4n + -6n = 14 + 6n + -6n Combine like terms: 4n + -6n = -2n -2 + -2n = 14 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + -2n = 14 + 0 -2 + -2n = 14 Add '2' to each side of the equation. -2 + 2 + -2n = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -2n = 14 + 2 -2n = 14 + 2 Combine like terms: 14 + 2 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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