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Simplifying 6p + -4(p + -6) + 7(q + -6) = 0 Reorder the terms: 6p + -4(-6 + p) + 7(q + -6) = 0 6p + (-6 * -4 + p * -4) + 7(q + -6) = 0 6p + (24 + -4p) + 7(q + -6) = 0 Reorder the terms: 6p + 24 + -4p + 7(-6 + q) = 0 6p + 24 + -4p + (-6 * 7 + q * 7) = 0 6p + 24 + -4p + (-42 + 7q) = 0 Reorder the terms: 24 + -42 + 6p + -4p + 7q = 0 Combine like terms: 24 + -42 = -18 -18 + 6p + -4p + 7q = 0 Combine like terms: 6p + -4p = 2p -18 + 2p + 7q = 0 Solving -18 + 2p + 7q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 2p + 18 + 7q = 0 + 18 Reorder the terms: -18 + 18 + 2p + 7q = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2p + 7q = 0 + 18 2p + 7q = 0 + 18 Combine like terms: 0 + 18 = 18 2p + 7q = 18 Add '-7q' to each side of the equation. 2p + 7q + -7q = 18 + -7q Combine like terms: 7q + -7q = 0 2p + 0 = 18 + -7q 2p = 18 + -7q Divide each side by '2'. p = 9 + -3.5q Simplifying p = 9 + -3.5q
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