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Simplifying -109 = 3 + -4(8n + 4) Reorder the terms: -109 = 3 + -4(4 + 8n) -109 = 3 + (4 * -4 + 8n * -4) -109 = 3 + (-16 + -32n) Combine like terms: 3 + -16 = -13 -109 = -13 + -32n Solving -109 = -13 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -109 + 32n = -13 + -32n + 32n Combine like terms: -32n + 32n = 0 -109 + 32n = -13 + 0 -109 + 32n = -13 Add '109' to each side of the equation. -109 + 109 + 32n = -13 + 109 Combine like terms: -109 + 109 = 0 0 + 32n = -13 + 109 32n = -13 + 109 Combine like terms: -13 + 109 = 96 32n = 96 Divide each side by '32'. n = 3 Simplifying n = 3
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