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Simplifying 4 + -1(p + -1) + 4p + 7 = p + 4 Reorder the terms: 4 + -1(-1 + p) + 4p + 7 = p + 4 4 + (-1 * -1 + p * -1) + 4p + 7 = p + 4 4 + (1 + -1p) + 4p + 7 = p + 4 Reorder the terms: 4 + 1 + 7 + -1p + 4p = p + 4 Combine like terms: 4 + 1 = 5 5 + 7 + -1p + 4p = p + 4 Combine like terms: 5 + 7 = 12 12 + -1p + 4p = p + 4 Combine like terms: -1p + 4p = 3p 12 + 3p = p + 4 Reorder the terms: 12 + 3p = 4 + p Solving 12 + 3p = 4 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 12 + 3p + -1p = 4 + p + -1p Combine like terms: 3p + -1p = 2p 12 + 2p = 4 + p + -1p Combine like terms: p + -1p = 0 12 + 2p = 4 + 0 12 + 2p = 4 Add '-12' to each side of the equation. 12 + -12 + 2p = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2p = 4 + -12 2p = 4 + -12 Combine like terms: 4 + -12 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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