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Simplifying (2p + 30) = (3p + -15) Reorder the terms: (30 + 2p) = (3p + -15) Remove parenthesis around (30 + 2p) 30 + 2p = (3p + -15) Reorder the terms: 30 + 2p = (-15 + 3p) Remove parenthesis around (-15 + 3p) 30 + 2p = -15 + 3p Solving 30 + 2p = -15 + 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. 30 + 2p + -3p = -15 + 3p + -3p Combine like terms: 2p + -3p = -1p 30 + -1p = -15 + 3p + -3p Combine like terms: 3p + -3p = 0 30 + -1p = -15 + 0 30 + -1p = -15 Add '-30' to each side of the equation. 30 + -30 + -1p = -15 + -30 Combine like terms: 30 + -30 = 0 0 + -1p = -15 + -30 -1p = -15 + -30 Combine like terms: -15 + -30 = -45 -1p = -45 Divide each side by '-1'. p = 45 Simplifying p = 45
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