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Simplifying 8p + 40 = 4(1 + 5p) Reorder the terms: 40 + 8p = 4(1 + 5p) 40 + 8p = (1 * 4 + 5p * 4) 40 + 8p = (4 + 20p) Solving 40 + 8p = 4 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 40 + 8p + -20p = 4 + 20p + -20p Combine like terms: 8p + -20p = -12p 40 + -12p = 4 + 20p + -20p Combine like terms: 20p + -20p = 0 40 + -12p = 4 + 0 40 + -12p = 4 Add '-40' to each side of the equation. 40 + -40 + -12p = 4 + -40 Combine like terms: 40 + -40 = 0 0 + -12p = 4 + -40 -12p = 4 + -40 Combine like terms: 4 + -40 = -36 -12p = -36 Divide each side by '-12'. p = 3 Simplifying p = 3
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