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Simplifying -5(4 + p) + 1 = -2 + -7(7 + p) (4 * -5 + p * -5) + 1 = -2 + -7(7 + p) (-20 + -5p) + 1 = -2 + -7(7 + p) Reorder the terms: -20 + 1 + -5p = -2 + -7(7 + p) Combine like terms: -20 + 1 = -19 -19 + -5p = -2 + -7(7 + p) -19 + -5p = -2 + (7 * -7 + p * -7) -19 + -5p = -2 + (-49 + -7p) Combine like terms: -2 + -49 = -51 -19 + -5p = -51 + -7p Solving -19 + -5p = -51 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -19 + -5p + 7p = -51 + -7p + 7p Combine like terms: -5p + 7p = 2p -19 + 2p = -51 + -7p + 7p Combine like terms: -7p + 7p = 0 -19 + 2p = -51 + 0 -19 + 2p = -51 Add '19' to each side of the equation. -19 + 19 + 2p = -51 + 19 Combine like terms: -19 + 19 = 0 0 + 2p = -51 + 19 2p = -51 + 19 Combine like terms: -51 + 19 = -32 2p = -32 Divide each side by '2'. p = -16 Simplifying p = -16
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