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Simplifying -2n + -6 = n + -4(n + 2) Reorder the terms: -6 + -2n = n + -4(n + 2) Reorder the terms: -6 + -2n = n + -4(2 + n) -6 + -2n = n + (2 * -4 + n * -4) -6 + -2n = n + (-8 + -4n) Reorder the terms: -6 + -2n = -8 + n + -4n Combine like terms: n + -4n = -3n -6 + -2n = -8 + -3n Solving -6 + -2n = -8 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -6 + -2n + 3n = -8 + -3n + 3n Combine like terms: -2n + 3n = 1n -6 + 1n = -8 + -3n + 3n Combine like terms: -3n + 3n = 0 -6 + 1n = -8 + 0 -6 + 1n = -8 Add '6' to each side of the equation. -6 + 6 + 1n = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 1n = -8 + 6 1n = -8 + 6 Combine like terms: -8 + 6 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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