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Simplifying 8p + -9(p + -8) + 3(q + -8) = 0 Reorder the terms: 8p + -9(-8 + p) + 3(q + -8) = 0 8p + (-8 * -9 + p * -9) + 3(q + -8) = 0 8p + (72 + -9p) + 3(q + -8) = 0 Reorder the terms: 8p + 72 + -9p + 3(-8 + q) = 0 8p + 72 + -9p + (-8 * 3 + q * 3) = 0 8p + 72 + -9p + (-24 + 3q) = 0 Reorder the terms: 72 + -24 + 8p + -9p + 3q = 0 Combine like terms: 72 + -24 = 48 48 + 8p + -9p + 3q = 0 Combine like terms: 8p + -9p = -1p 48 + -1p + 3q = 0 Solving 48 + -1p + 3q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -1p + -48 + 3q = 0 + -48 Reorder the terms: 48 + -48 + -1p + 3q = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1p + 3q = 0 + -48 -1p + 3q = 0 + -48 Combine like terms: 0 + -48 = -48 -1p + 3q = -48 Add '-3q' to each side of the equation. -1p + 3q + -3q = -48 + -3q Combine like terms: 3q + -3q = 0 -1p + 0 = -48 + -3q -1p = -48 + -3q Divide each side by '-1'. p = 48 + 3q Simplifying p = 48 + 3q
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