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Simplifying -2p + 7 = 14 + 1 + 4p + 4 Reorder the terms: 7 + -2p = 14 + 1 + 4p + 4 Reorder the terms: 7 + -2p = 14 + 1 + 4 + 4p Combine like terms: 14 + 1 = 15 7 + -2p = 15 + 4 + 4p Combine like terms: 15 + 4 = 19 7 + -2p = 19 + 4p Solving 7 + -2p = 19 + 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 + -2p + -4p = 19 + 4p + -4p Combine like terms: -2p + -4p = -6p 7 + -6p = 19 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + -6p = 19 + 0 7 + -6p = 19 Add '-7' to each side of the equation. 7 + -7 + -6p = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -6p = 19 + -7 -6p = 19 + -7 Combine like terms: 19 + -7 = 12 -6p = 12 Divide each side by '-6'. p = -2 Simplifying p = -2
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