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Simplifying 5(p + -3) = 3(p + -2) Reorder the terms: 5(-3 + p) = 3(p + -2) (-3 * 5 + p * 5) = 3(p + -2) (-15 + 5p) = 3(p + -2) Reorder the terms: -15 + 5p = 3(-2 + p) -15 + 5p = (-2 * 3 + p * 3) -15 + 5p = (-6 + 3p) Solving -15 + 5p = -6 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -15 + 5p + -3p = -6 + 3p + -3p Combine like terms: 5p + -3p = 2p -15 + 2p = -6 + 3p + -3p Combine like terms: 3p + -3p = 0 -15 + 2p = -6 + 0 -15 + 2p = -6 Add '15' to each side of the equation. -15 + 15 + 2p = -6 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -6 + 15 2p = -6 + 15 Combine like terms: -6 + 15 = 9 2p = 9 Divide each side by '2'. p = 4.5 Simplifying p = 4.5
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