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Simplifying (5p + -2) + -1(2p + 7) + (-9p + 18) = 0 Reorder the terms: (-2 + 5p) + -1(2p + 7) + (-9p + 18) = 0 Remove parenthesis around (-2 + 5p) -2 + 5p + -1(2p + 7) + (-9p + 18) = 0 Reorder the terms: -2 + 5p + -1(7 + 2p) + (-9p + 18) = 0 -2 + 5p + (7 * -1 + 2p * -1) + (-9p + 18) = 0 -2 + 5p + (-7 + -2p) + (-9p + 18) = 0 Reorder the terms: -2 + 5p + -7 + -2p + (18 + -9p) = 0 Remove parenthesis around (18 + -9p) -2 + 5p + -7 + -2p + 18 + -9p = 0 Reorder the terms: -2 + -7 + 18 + 5p + -2p + -9p = 0 Combine like terms: -2 + -7 = -9 -9 + 18 + 5p + -2p + -9p = 0 Combine like terms: -9 + 18 = 9 9 + 5p + -2p + -9p = 0 Combine like terms: 5p + -2p = 3p 9 + 3p + -9p = 0 Combine like terms: 3p + -9p = -6p 9 + -6p = 0 Solving 9 + -6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -6p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -6p = 0 + -9 -6p = 0 + -9 Combine like terms: 0 + -9 = -9 -6p = -9 Divide each side by '-6'. p = 1.5 Simplifying p = 1.5
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