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Simplifying 7(p + 4) + 4 = 5p + 22 Reorder the terms: 7(4 + p) + 4 = 5p + 22 (4 * 7 + p * 7) + 4 = 5p + 22 (28 + 7p) + 4 = 5p + 22 Reorder the terms: 28 + 4 + 7p = 5p + 22 Combine like terms: 28 + 4 = 32 32 + 7p = 5p + 22 Reorder the terms: 32 + 7p = 22 + 5p Solving 32 + 7p = 22 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 32 + 7p + -5p = 22 + 5p + -5p Combine like terms: 7p + -5p = 2p 32 + 2p = 22 + 5p + -5p Combine like terms: 5p + -5p = 0 32 + 2p = 22 + 0 32 + 2p = 22 Add '-32' to each side of the equation. 32 + -32 + 2p = 22 + -32 Combine like terms: 32 + -32 = 0 0 + 2p = 22 + -32 2p = 22 + -32 Combine like terms: 22 + -32 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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