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Simplifying 32 + p = 4(5p + 8) + 3p Reorder the terms: 32 + p = 4(8 + 5p) + 3p 32 + p = (8 * 4 + 5p * 4) + 3p 32 + p = (32 + 20p) + 3p Combine like terms: 20p + 3p = 23p 32 + p = 32 + 23p Add '-32' to each side of the equation. 32 + -32 + p = 32 + -32 + 23p Combine like terms: 32 + -32 = 0 0 + p = 32 + -32 + 23p p = 32 + -32 + 23p Combine like terms: 32 + -32 = 0 p = 0 + 23p p = 23p Solving p = 23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23p' to each side of the equation. p + -23p = 23p + -23p Combine like terms: p + -23p = -22p -22p = 23p + -23p Combine like terms: 23p + -23p = 0 -22p = 0 Divide each side by '-22'. p = 0 Simplifying p = 0
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