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Simplifying -2 + 8(n + -6) = -6(n + -8) Reorder the terms: -2 + 8(-6 + n) = -6(n + -8) -2 + (-6 * 8 + n * 8) = -6(n + -8) -2 + (-48 + 8n) = -6(n + -8) Combine like terms: -2 + -48 = -50 -50 + 8n = -6(n + -8) Reorder the terms: -50 + 8n = -6(-8 + n) -50 + 8n = (-8 * -6 + n * -6) -50 + 8n = (48 + -6n) Solving -50 + 8n = 48 + -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. -50 + 8n + 6n = 48 + -6n + 6n Combine like terms: 8n + 6n = 14n -50 + 14n = 48 + -6n + 6n Combine like terms: -6n + 6n = 0 -50 + 14n = 48 + 0 -50 + 14n = 48 Add '50' to each side of the equation. -50 + 50 + 14n = 48 + 50 Combine like terms: -50 + 50 = 0 0 + 14n = 48 + 50 14n = 48 + 50 Combine like terms: 48 + 50 = 98 14n = 98 Divide each side by '14'. n = 7 Simplifying n = 7
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