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Simplifying 7(p + 3) = 5(p + -2) + -3p Reorder the terms: 7(3 + p) = 5(p + -2) + -3p (3 * 7 + p * 7) = 5(p + -2) + -3p (21 + 7p) = 5(p + -2) + -3p Reorder the terms: 21 + 7p = 5(-2 + p) + -3p 21 + 7p = (-2 * 5 + p * 5) + -3p 21 + 7p = (-10 + 5p) + -3p Combine like terms: 5p + -3p = 2p 21 + 7p = -10 + 2p Solving 21 + 7p = -10 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 21 + 7p + -2p = -10 + 2p + -2p Combine like terms: 7p + -2p = 5p 21 + 5p = -10 + 2p + -2p Combine like terms: 2p + -2p = 0 21 + 5p = -10 + 0 21 + 5p = -10 Add '-21' to each side of the equation. 21 + -21 + 5p = -10 + -21 Combine like terms: 21 + -21 = 0 0 + 5p = -10 + -21 5p = -10 + -21 Combine like terms: -10 + -21 = -31 5p = -31 Divide each side by '5'. p = -6.2 Simplifying p = -6.2
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