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Simplifying 4(1 + 2p) + 2q = 8 (1 * 4 + 2p * 4) + 2q = 8 (4 + 8p) + 2q = 8 Solving 4 + 8p + 2q = 8 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8p + -4 + 2q = 8 + -4 Reorder the terms: 4 + -4 + 8p + 2q = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 8p + 2q = 8 + -4 8p + 2q = 8 + -4 Combine like terms: 8 + -4 = 4 8p + 2q = 4 Add '-2q' to each side of the equation. 8p + 2q + -2q = 4 + -2q Combine like terms: 2q + -2q = 0 8p + 0 = 4 + -2q 8p = 4 + -2q Divide each side by '8'. p = 0.5 + -0.25q Simplifying p = 0.5 + -0.25q
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