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Simplifying 4p + -2(p + -4) + 8(q + -4) = 0 Reorder the terms: 4p + -2(-4 + p) + 8(q + -4) = 0 4p + (-4 * -2 + p * -2) + 8(q + -4) = 0 4p + (8 + -2p) + 8(q + -4) = 0 Reorder the terms: 4p + 8 + -2p + 8(-4 + q) = 0 4p + 8 + -2p + (-4 * 8 + q * 8) = 0 4p + 8 + -2p + (-32 + 8q) = 0 Reorder the terms: 8 + -32 + 4p + -2p + 8q = 0 Combine like terms: 8 + -32 = -24 -24 + 4p + -2p + 8q = 0 Combine like terms: 4p + -2p = 2p -24 + 2p + 8q = 0 Solving -24 + 2p + 8q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 2p + 24 + 8q = 0 + 24 Reorder the terms: -24 + 24 + 2p + 8q = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 2p + 8q = 0 + 24 2p + 8q = 0 + 24 Combine like terms: 0 + 24 = 24 2p + 8q = 24 Add '-8q' to each side of the equation. 2p + 8q + -8q = 24 + -8q Combine like terms: 8q + -8q = 0 2p + 0 = 24 + -8q 2p = 24 + -8q Divide each side by '2'. p = 12 + -4q Simplifying p = 12 + -4q
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