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Simplifying 5(p + 3q) + -1(7p + 8q) = 6 (p * 5 + 3q * 5) + -1(7p + 8q) = 6 (5p + 15q) + -1(7p + 8q) = 6 5p + 15q + (7p * -1 + 8q * -1) = 6 5p + 15q + (-7p + -8q) = 6 Reorder the terms: 5p + -7p + 15q + -8q = 6 Combine like terms: 5p + -7p = -2p -2p + 15q + -8q = 6 Combine like terms: 15q + -8q = 7q -2p + 7q = 6 Solving -2p + 7q = 6 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7q' to each side of the equation. -2p + 7q + -7q = 6 + -7q Combine like terms: 7q + -7q = 0 -2p + 0 = 6 + -7q -2p = 6 + -7q Divide each side by '-2'. p = -3 + 3.5q Simplifying p = -3 + 3.5q
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