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Simplifying 48 = 8(5p + 6) + 5p Reorder the terms: 48 = 8(6 + 5p) + 5p 48 = (6 * 8 + 5p * 8) + 5p 48 = (48 + 40p) + 5p Combine like terms: 40p + 5p = 45p 48 = 48 + 45p Add '-48' to each side of the equation. 48 + -48 = 48 + -48 + 45p Combine like terms: 48 + -48 = 0 0 = 48 + -48 + 45p Combine like terms: 48 + -48 = 0 0 = 0 + 45p 0 = 45p Solving 0 = 45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-45p' to each side of the equation. 0 + -45p = 45p + -45p Remove the zero: -45p = 45p + -45p Combine like terms: 45p + -45p = 0 -45p = 0 Divide each side by '-45'. p = 0 Simplifying p = 0
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