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Simplifying 8(4p + q) = 32p + 8 (4p * 8 + q * 8) = 32p + 8 (32p + 8q) = 32p + 8 Reorder the terms: 32p + 8q = 8 + 32p Add '-32p' to each side of the equation. 32p + -32p + 8q = 8 + 32p + -32p Combine like terms: 32p + -32p = 0 0 + 8q = 8 + 32p + -32p 8q = 8 + 32p + -32p Combine like terms: 32p + -32p = 0 8q = 8 + 0 8q = 8 Solving 8q = 8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Divide each side by '8'. q = 1 Simplifying q = 1
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