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Simplifying -5q + -2(1 + -1p) = -6q -5q + (1 * -2 + -1p * -2) = -6q -5q + (-2 + 2p) = -6q Reorder the terms: -2 + 2p + -5q = -6q Solving -2 + 2p + -5q = -6q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2p + 2 + -5q = 2 + -6q Reorder the terms: -2 + 2 + 2p + -5q = 2 + -6q Combine like terms: -2 + 2 = 0 0 + 2p + -5q = 2 + -6q 2p + -5q = 2 + -6q Add '5q' to each side of the equation. 2p + -5q + 5q = 2 + -6q + 5q Combine like terms: -5q + 5q = 0 2p + 0 = 2 + -6q + 5q 2p = 2 + -6q + 5q Combine like terms: -6q + 5q = -1q 2p = 2 + -1q Divide each side by '2'. p = 1 + -0.5q Simplifying p = 1 + -0.5q
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