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Simplifying 2p + 9 = 3(2p + -5) Reorder the terms: 9 + 2p = 3(2p + -5) Reorder the terms: 9 + 2p = 3(-5 + 2p) 9 + 2p = (-5 * 3 + 2p * 3) 9 + 2p = (-15 + 6p) Solving 9 + 2p = -15 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 9 + 2p + -6p = -15 + 6p + -6p Combine like terms: 2p + -6p = -4p 9 + -4p = -15 + 6p + -6p Combine like terms: 6p + -6p = 0 9 + -4p = -15 + 0 9 + -4p = -15 Add '-9' to each side of the equation. 9 + -9 + -4p = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -4p = -15 + -9 -4p = -15 + -9 Combine like terms: -15 + -9 = -24 -4p = -24 Divide each side by '-4'. p = 6 Simplifying p = 6
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