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Simplifying -187 = 4(8n + 8) + 5 Reorder the terms: -187 = 4(8 + 8n) + 5 -187 = (8 * 4 + 8n * 4) + 5 -187 = (32 + 32n) + 5 Reorder the terms: -187 = 32 + 5 + 32n Combine like terms: 32 + 5 = 37 -187 = 37 + 32n Solving -187 = 37 + 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. -187 + -32n = 37 + 32n + -32n Combine like terms: 32n + -32n = 0 -187 + -32n = 37 + 0 -187 + -32n = 37 Add '187' to each side of the equation. -187 + 187 + -32n = 37 + 187 Combine like terms: -187 + 187 = 0 0 + -32n = 37 + 187 -32n = 37 + 187 Combine like terms: 37 + 187 = 224 -32n = 224 Divide each side by '-32'. n = -7 Simplifying n = -7
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