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Simplifying 7 + 8(p + 8) = -4p + 35 Reorder the terms: 7 + 8(8 + p) = -4p + 35 7 + (8 * 8 + p * 8) = -4p + 35 7 + (64 + 8p) = -4p + 35 Combine like terms: 7 + 64 = 71 71 + 8p = -4p + 35 Reorder the terms: 71 + 8p = 35 + -4p Solving 71 + 8p = 35 + -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. 71 + 8p + 4p = 35 + -4p + 4p Combine like terms: 8p + 4p = 12p 71 + 12p = 35 + -4p + 4p Combine like terms: -4p + 4p = 0 71 + 12p = 35 + 0 71 + 12p = 35 Add '-71' to each side of the equation. 71 + -71 + 12p = 35 + -71 Combine like terms: 71 + -71 = 0 0 + 12p = 35 + -71 12p = 35 + -71 Combine like terms: 35 + -71 = -36 12p = -36 Divide each side by '12'. p = -3 Simplifying p = -3
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