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Simplifying -312 = -6(8n + 4) Reorder the terms: -312 = -6(4 + 8n) -312 = (4 * -6 + 8n * -6) -312 = (-24 + -48n) Solving -312 = -24 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. -312 + 48n = -24 + -48n + 48n Combine like terms: -48n + 48n = 0 -312 + 48n = -24 + 0 -312 + 48n = -24 Add '312' to each side of the equation. -312 + 312 + 48n = -24 + 312 Combine like terms: -312 + 312 = 0 0 + 48n = -24 + 312 48n = -24 + 312 Combine like terms: -24 + 312 = 288 48n = 288 Divide each side by '48'. n = 6 Simplifying n = 6
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