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Simplifying -61 = -2(4n + 4) + -5 Reorder the terms: -61 = -2(4 + 4n) + -5 -61 = (4 * -2 + 4n * -2) + -5 -61 = (-8 + -8n) + -5 Reorder the terms: -61 = -8 + -5 + -8n Combine like terms: -8 + -5 = -13 -61 = -13 + -8n Solving -61 = -13 + -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. -61 + 8n = -13 + -8n + 8n Combine like terms: -8n + 8n = 0 -61 + 8n = -13 + 0 -61 + 8n = -13 Add '61' to each side of the equation. -61 + 61 + 8n = -13 + 61 Combine like terms: -61 + 61 = 0 0 + 8n = -13 + 61 8n = -13 + 61 Combine like terms: -13 + 61 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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