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Simplifying 5(2p + 3) = 4p + 51 Reorder the terms: 5(3 + 2p) = 4p + 51 (3 * 5 + 2p * 5) = 4p + 51 (15 + 10p) = 4p + 51 Reorder the terms: 15 + 10p = 51 + 4p Solving 15 + 10p = 51 + 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. 15 + 10p + -4p = 51 + 4p + -4p Combine like terms: 10p + -4p = 6p 15 + 6p = 51 + 4p + -4p Combine like terms: 4p + -4p = 0 15 + 6p = 51 + 0 15 + 6p = 51 Add '-15' to each side of the equation. 15 + -15 + 6p = 51 + -15 Combine like terms: 15 + -15 = 0 0 + 6p = 51 + -15 6p = 51 + -15 Combine like terms: 51 + -15 = 36 6p = 36 Divide each side by '6'. p = 6 Simplifying p = 6
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