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Simplifying 2(p + -4) + 5(q + 6) = 0 Reorder the terms: 2(-4 + p) + 5(q + 6) = 0 (-4 * 2 + p * 2) + 5(q + 6) = 0 (-8 + 2p) + 5(q + 6) = 0 Reorder the terms: -8 + 2p + 5(6 + q) = 0 -8 + 2p + (6 * 5 + q * 5) = 0 -8 + 2p + (30 + 5q) = 0 Reorder the terms: -8 + 30 + 2p + 5q = 0 Combine like terms: -8 + 30 = 22 22 + 2p + 5q = 0 Solving 22 + 2p + 5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 2p + -22 + 5q = 0 + -22 Reorder the terms: 22 + -22 + 2p + 5q = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2p + 5q = 0 + -22 2p + 5q = 0 + -22 Combine like terms: 0 + -22 = -22 2p + 5q = -22 Add '-5q' to each side of the equation. 2p + 5q + -5q = -22 + -5q Combine like terms: 5q + -5q = 0 2p + 0 = -22 + -5q 2p = -22 + -5q Divide each side by '2'. p = -11 + -2.5q Simplifying p = -11 + -2.5q
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