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Simplifying 2p + 7 = 3(p + 8) + 1 Reorder the terms: 7 + 2p = 3(p + 8) + 1 Reorder the terms: 7 + 2p = 3(8 + p) + 1 7 + 2p = (8 * 3 + p * 3) + 1 7 + 2p = (24 + 3p) + 1 Reorder the terms: 7 + 2p = 24 + 1 + 3p Combine like terms: 24 + 1 = 25 7 + 2p = 25 + 3p Solving 7 + 2p = 25 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 7 + 2p + -3p = 25 + 3p + -3p Combine like terms: 2p + -3p = -1p 7 + -1p = 25 + 3p + -3p Combine like terms: 3p + -3p = 0 7 + -1p = 25 + 0 7 + -1p = 25 Add '-7' to each side of the equation. 7 + -7 + -1p = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 25 + -7 -1p = 25 + -7 Combine like terms: 25 + -7 = 18 -1p = 18 Divide each side by '-1'. p = -18 Simplifying p = -18
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