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Simplifying 8q + -9(-8 + q) + 8(p + -8) = 0 8q + (-8 * -9 + q * -9) + 8(p + -8) = 0 8q + (72 + -9q) + 8(p + -8) = 0 Reorder the terms: 8q + 72 + -9q + 8(-8 + p) = 0 8q + 72 + -9q + (-8 * 8 + p * 8) = 0 8q + 72 + -9q + (-64 + 8p) = 0 Reorder the terms: 72 + -64 + 8p + 8q + -9q = 0 Combine like terms: 72 + -64 = 8 8 + 8p + 8q + -9q = 0 Combine like terms: 8q + -9q = -1q 8 + 8p + -1q = 0 Solving 8 + 8p + -1q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8p + -8 + -1q = 0 + -8 Reorder the terms: 8 + -8 + 8p + -1q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8p + -1q = 0 + -8 8p + -1q = 0 + -8 Combine like terms: 0 + -8 = -8 8p + -1q = -8 Add 'q' to each side of the equation. 8p + -1q + q = -8 + q Combine like terms: -1q + q = 0 8p + 0 = -8 + q 8p = -8 + q Divide each side by '8'. p = -1 + 0.125q Simplifying p = -1 + 0.125q
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