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Simplifying 4p + -8 + -2p + 15 = 1 + 3p Reorder the terms: -8 + 15 + 4p + -2p = 1 + 3p Combine like terms: -8 + 15 = 7 7 + 4p + -2p = 1 + 3p Combine like terms: 4p + -2p = 2p 7 + 2p = 1 + 3p Solving 7 + 2p = 1 + 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 = 1 + 3p + -3p Combine like terms: 2p + -3p = -1p 7 + -1p = 1 + 3p + -3p Combine like terms: 3p + -3p = 0 7 + -1p = 1 + 0 7 + -1p = 1 Add '-7' to each side of the equation. 7 + -7 + -1p = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 1 + -7 -1p = 1 + -7 Combine like terms: 1 + -7 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6
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