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Simplifying -6(n + 4) = -2 + 4(-2n + -7) Reorder the terms: -6(4 + n) = -2 + 4(-2n + -7) (4 * -6 + n * -6) = -2 + 4(-2n + -7) (-24 + -6n) = -2 + 4(-2n + -7) Reorder the terms: -24 + -6n = -2 + 4(-7 + -2n) -24 + -6n = -2 + (-7 * 4 + -2n * 4) -24 + -6n = -2 + (-28 + -8n) Combine like terms: -2 + -28 = -30 -24 + -6n = -30 + -8n Solving -24 + -6n = -30 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -24 + -6n + 8n = -30 + -8n + 8n Combine like terms: -6n + 8n = 2n -24 + 2n = -30 + -8n + 8n Combine like terms: -8n + 8n = 0 -24 + 2n = -30 + 0 -24 + 2n = -30 Add '24' to each side of the equation. -24 + 24 + 2n = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 2n = -30 + 24 2n = -30 + 24 Combine like terms: -30 + 24 = -6 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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