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Simplifying -8(8 + -5p) = 9p + 29 (8 * -8 + -5p * -8) = 9p + 29 (-64 + 40p) = 9p + 29 Reorder the terms: -64 + 40p = 29 + 9p Solving -64 + 40p = 29 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -64 + 40p + -9p = 29 + 9p + -9p Combine like terms: 40p + -9p = 31p -64 + 31p = 29 + 9p + -9p Combine like terms: 9p + -9p = 0 -64 + 31p = 29 + 0 -64 + 31p = 29 Add '64' to each side of the equation. -64 + 64 + 31p = 29 + 64 Combine like terms: -64 + 64 = 0 0 + 31p = 29 + 64 31p = 29 + 64 Combine like terms: 29 + 64 = 93 31p = 93 Divide each side by '31'. p = 3 Simplifying p = 3
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