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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 = -6 -4p = -6 Divide each side by '-4'. p = 1.5 Simplifying p = 1.5
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