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Simplifying 3p + 7 = 5(12 + 4p) Reorder the terms: 7 + 3p = 5(12 + 4p) 7 + 3p = (12 * 5 + 4p * 5) 7 + 3p = (60 + 20p) Solving 7 + 3p = 60 + 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. 7 + 3p + -20p = 60 + 20p + -20p Combine like terms: 3p + -20p = -17p 7 + -17p = 60 + 20p + -20p Combine like terms: 20p + -20p = 0 7 + -17p = 60 + 0 7 + -17p = 60 Add '-7' to each side of the equation. 7 + -7 + -17p = 60 + -7 Combine like terms: 7 + -7 = 0 0 + -17p = 60 + -7 -17p = 60 + -7 Combine like terms: 60 + -7 = 53 -17p = 53 Divide each side by '-17'. p = -3.117647059 Simplifying p = -3.117647059
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