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Simplifying 7(2p + 3) = 2(5p + 3) Reorder the terms: 7(3 + 2p) = 2(5p + 3) (3 * 7 + 2p * 7) = 2(5p + 3) (21 + 14p) = 2(5p + 3) Reorder the terms: 21 + 14p = 2(3 + 5p) 21 + 14p = (3 * 2 + 5p * 2) 21 + 14p = (6 + 10p) Solving 21 + 14p = 6 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 21 + 14p + -10p = 6 + 10p + -10p Combine like terms: 14p + -10p = 4p 21 + 4p = 6 + 10p + -10p Combine like terms: 10p + -10p = 0 21 + 4p = 6 + 0 21 + 4p = 6 Add '-21' to each side of the equation. 21 + -21 + 4p = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 4p = 6 + -21 4p = 6 + -21 Combine like terms: 6 + -21 = -15 4p = -15 Divide each side by '4'. p = -3.75 Simplifying p = -3.75
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