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Simplifying 3(p + 4) + -1p = 4p + -7 Reorder the terms: 3(4 + p) + -1p = 4p + -7 (4 * 3 + p * 3) + -1p = 4p + -7 (12 + 3p) + -1p = 4p + -7 Combine like terms: 3p + -1p = 2p 12 + 2p = 4p + -7 Reorder the terms: 12 + 2p = -7 + 4p Solving 12 + 2p = -7 + 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. 12 + 2p + -4p = -7 + 4p + -4p Combine like terms: 2p + -4p = -2p 12 + -2p = -7 + 4p + -4p Combine like terms: 4p + -4p = 0 12 + -2p = -7 + 0 12 + -2p = -7 Add '-12' to each side of the equation. 12 + -12 + -2p = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -2p = -7 + -12 -2p = -7 + -12 Combine like terms: -7 + -12 = -19 -2p = -19 Divide each side by '-2'. p = 9.5 Simplifying p = 9.5
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