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Simplifying 3(2p + 5) = 6(7 + 4p) Reorder the terms: 3(5 + 2p) = 6(7 + 4p) (5 * 3 + 2p * 3) = 6(7 + 4p) (15 + 6p) = 6(7 + 4p) 15 + 6p = (7 * 6 + 4p * 6) 15 + 6p = (42 + 24p) Solving 15 + 6p = 42 + 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. 15 + 6p + -24p = 42 + 24p + -24p Combine like terms: 6p + -24p = -18p 15 + -18p = 42 + 24p + -24p Combine like terms: 24p + -24p = 0 15 + -18p = 42 + 0 15 + -18p = 42 Add '-15' to each side of the equation. 15 + -15 + -18p = 42 + -15 Combine like terms: 15 + -15 = 0 0 + -18p = 42 + -15 -18p = 42 + -15 Combine like terms: 42 + -15 = 27 -18p = 27 Divide each side by '-18'. p = -1.5 Simplifying p = -1.5
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