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Simplifying 2(n + -6) + 4 = n + -4(n + 2) Reorder the terms: 2(-6 + n) + 4 = n + -4(n + 2) (-6 * 2 + n * 2) + 4 = n + -4(n + 2) (-12 + 2n) + 4 = n + -4(n + 2) Reorder the terms: -12 + 4 + 2n = n + -4(n + 2) Combine like terms: -12 + 4 = -8 -8 + 2n = n + -4(n + 2) Reorder the terms: -8 + 2n = n + -4(2 + n) -8 + 2n = n + (2 * -4 + n * -4) -8 + 2n = n + (-8 + -4n) Reorder the terms: -8 + 2n = -8 + n + -4n Combine like terms: n + -4n = -3n -8 + 2n = -8 + -3n Add '8' to each side of the equation. -8 + 8 + 2n = -8 + 8 + -3n Combine like terms: -8 + 8 = 0 0 + 2n = -8 + 8 + -3n 2n = -8 + 8 + -3n Combine like terms: -8 + 8 = 0 2n = 0 + -3n 2n = -3n Solving 2n = -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. 2n + 3n = -3n + 3n Combine like terms: 2n + 3n = 5n 5n = -3n + 3n Combine like terms: -3n + 3n = 0 5n = 0 Divide each side by '5'. n = 0 Simplifying n = 0
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