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Simplifying 1 + 6p = 24 + 2(p + 3) Reorder the terms: 1 + 6p = 24 + 2(3 + p) 1 + 6p = 24 + (3 * 2 + p * 2) 1 + 6p = 24 + (6 + 2p) Combine like terms: 24 + 6 = 30 1 + 6p = 30 + 2p Solving 1 + 6p = 30 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 1 + 6p + -2p = 30 + 2p + -2p Combine like terms: 6p + -2p = 4p 1 + 4p = 30 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + 4p = 30 + 0 1 + 4p = 30 Add '-1' to each side of the equation. 1 + -1 + 4p = 30 + -1 Combine like terms: 1 + -1 = 0 0 + 4p = 30 + -1 4p = 30 + -1 Combine like terms: 30 + -1 = 29 4p = 29 Divide each side by '4'. p = 7.25 Simplifying p = 7.25
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