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Simplifying (3p(2) + -2p + 3) + -1(p(2) + -7p + 7) = 0 Reorder the terms for easier multiplication: (3 * 2p + -2p + 3) + -1(p(2) + -7p + 7) = 0 Multiply 3 * 2 (6p + -2p + 3) + -1(p(2) + -7p + 7) = 0 Reorder the terms: (3 + 6p + -2p) + -1(p(2) + -7p + 7) = 0 Combine like terms: 6p + -2p = 4p (3 + 4p) + -1(p(2) + -7p + 7) = 0 Remove parenthesis around (3 + 4p) 3 + 4p + -1(p(2) + -7p + 7) = 0 Reorder the terms for easier multiplication: 3 + 4p + -1(2p + -7p + 7) = 0 Reorder the terms: 3 + 4p + -1(7 + 2p + -7p) = 0 Combine like terms: 2p + -7p = -5p 3 + 4p + -1(7 + -5p) = 0 3 + 4p + (7 * -1 + -5p * -1) = 0 3 + 4p + (-7 + 5p) = 0 Reorder the terms: 3 + -7 + 4p + 5p = 0 Combine like terms: 3 + -7 = -4 -4 + 4p + 5p = 0 Combine like terms: 4p + 5p = 9p -4 + 9p = 0 Solving -4 + 9p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9p = 0 + 4 9p = 0 + 4 Combine like terms: 0 + 4 = 4 9p = 4 Divide each side by '9'. p = 0.4444444444 Simplifying p = 0.4444444444
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