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Simplifying 3p + 7 = 2(2p + -8) Reorder the terms: 7 + 3p = 2(2p + -8) Reorder the terms: 7 + 3p = 2(-8 + 2p) 7 + 3p = (-8 * 2 + 2p * 2) 7 + 3p = (-16 + 4p) Solving 7 + 3p = -16 + 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. 7 + 3p + -4p = -16 + 4p + -4p Combine like terms: 3p + -4p = -1p 7 + -1p = -16 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + -1p = -16 + 0 7 + -1p = -16 Add '-7' to each side of the equation. 7 + -7 + -1p = -16 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = -16 + -7 -1p = -16 + -7 Combine like terms: -16 + -7 = -23 -1p = -23 Divide each side by '-1'. p = 23 Simplifying p = 23
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