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Simplifying 3(p + 6) + -5p = 10 + -4p Reorder the terms: 3(6 + p) + -5p = 10 + -4p (6 * 3 + p * 3) + -5p = 10 + -4p (18 + 3p) + -5p = 10 + -4p Combine like terms: 3p + -5p = -2p 18 + -2p = 10 + -4p Solving 18 + -2p = 10 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 18 + -2p + 4p = 10 + -4p + 4p Combine like terms: -2p + 4p = 2p 18 + 2p = 10 + -4p + 4p Combine like terms: -4p + 4p = 0 18 + 2p = 10 + 0 18 + 2p = 10 Add '-18' to each side of the equation. 18 + -18 + 2p = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 2p = 10 + -18 2p = 10 + -18 Combine like terms: 10 + -18 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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