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Simplifying 4 + (2p + 6) = 8(3 + 3p) Reorder the terms: 4 + (6 + 2p) = 8(3 + 3p) Remove parenthesis around (6 + 2p) 4 + 6 + 2p = 8(3 + 3p) Combine like terms: 4 + 6 = 10 10 + 2p = 8(3 + 3p) 10 + 2p = (3 * 8 + 3p * 8) 10 + 2p = (24 + 24p) Solving 10 + 2p = 24 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 10 + 2p + -24p = 24 + 24p + -24p Combine like terms: 2p + -24p = -22p 10 + -22p = 24 + 24p + -24p Combine like terms: 24p + -24p = 0 10 + -22p = 24 + 0 10 + -22p = 24 Add '-10' to each side of the equation. 10 + -10 + -22p = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -22p = 24 + -10 -22p = 24 + -10 Combine like terms: 24 + -10 = 14 -22p = 14 Divide each side by '-22'. p = -0.6363636364 Simplifying p = -0.6363636364
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