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Simplifying 8 + 8n = 4(4n + -7) + -4 Reorder the terms: 8 + 8n = 4(-7 + 4n) + -4 8 + 8n = (-7 * 4 + 4n * 4) + -4 8 + 8n = (-28 + 16n) + -4 Reorder the terms: 8 + 8n = -28 + -4 + 16n Combine like terms: -28 + -4 = -32 8 + 8n = -32 + 16n Solving 8 + 8n = -32 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 8 + 8n + -16n = -32 + 16n + -16n Combine like terms: 8n + -16n = -8n 8 + -8n = -32 + 16n + -16n Combine like terms: 16n + -16n = 0 8 + -8n = -32 + 0 8 + -8n = -32 Add '-8' to each side of the equation. 8 + -8 + -8n = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -8n = -32 + -8 -8n = -32 + -8 Combine like terms: -32 + -8 = -40 -8n = -40 Divide each side by '-8'. n = 5 Simplifying n = 5
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