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Simplifying 5(5p + 8) = 7p + -32 Reorder the terms: 5(8 + 5p) = 7p + -32 (8 * 5 + 5p * 5) = 7p + -32 (40 + 25p) = 7p + -32 Reorder the terms: 40 + 25p = -32 + 7p Solving 40 + 25p = -32 + 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. 40 + 25p + -7p = -32 + 7p + -7p Combine like terms: 25p + -7p = 18p 40 + 18p = -32 + 7p + -7p Combine like terms: 7p + -7p = 0 40 + 18p = -32 + 0 40 + 18p = -32 Add '-40' to each side of the equation. 40 + -40 + 18p = -32 + -40 Combine like terms: 40 + -40 = 0 0 + 18p = -32 + -40 18p = -32 + -40 Combine like terms: -32 + -40 = -72 18p = -72 Divide each side by '18'. p = -4 Simplifying p = -4
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