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Simplifying 8p + -2(p + -8) + 3(q + -8) = 0 Reorder the terms: 8p + -2(-8 + p) + 3(q + -8) = 0 8p + (-8 * -2 + p * -2) + 3(q + -8) = 0 8p + (16 + -2p) + 3(q + -8) = 0 Reorder the terms: 8p + 16 + -2p + 3(-8 + q) = 0 8p + 16 + -2p + (-8 * 3 + q * 3) = 0 8p + 16 + -2p + (-24 + 3q) = 0 Reorder the terms: 16 + -24 + 8p + -2p + 3q = 0 Combine like terms: 16 + -24 = -8 -8 + 8p + -2p + 3q = 0 Combine like terms: 8p + -2p = 6p -8 + 6p + 3q = 0 Solving -8 + 6p + 3q = 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 + 6p + 8 + 3q = 0 + 8 Reorder the terms: -8 + 8 + 6p + 3q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 6p + 3q = 0 + 8 6p + 3q = 0 + 8 Combine like terms: 0 + 8 = 8 6p + 3q = 8 Add '-3q' to each side of the equation. 6p + 3q + -3q = 8 + -3q Combine like terms: 3q + -3q = 0 6p + 0 = 8 + -3q 6p = 8 + -3q Divide each side by '6'. p = 1.333333333 + -0.5q Simplifying p = 1.333333333 + -0.5q
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