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Simplifying -3 + -1(8n + -7) = n + -1(n + 4) Reorder the terms: -3 + -1(-7 + 8n) = n + -1(n + 4) -3 + (-7 * -1 + 8n * -1) = n + -1(n + 4) -3 + (7 + -8n) = n + -1(n + 4) Combine like terms: -3 + 7 = 4 4 + -8n = n + -1(n + 4) Reorder the terms: 4 + -8n = n + -1(4 + n) 4 + -8n = n + (4 * -1 + n * -1) 4 + -8n = n + (-4 + -1n) Reorder the terms: 4 + -8n = -4 + n + -1n Combine like terms: n + -1n = 0 4 + -8n = -4 + 0 4 + -8n = -4 Solving 4 + -8n = -4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -8n = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -8n = -4 + -4 -8n = -4 + -4 Combine like terms: -4 + -4 = -8 -8n = -8 Divide each side by '-8'. n = 1 Simplifying n = 1
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