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Simplifying 124 = 3p + 5(4 + 2p) 124 = 3p + (4 * 5 + 2p * 5) 124 = 3p + (20 + 10p) Reorder the terms: 124 = 20 + 3p + 10p Combine like terms: 3p + 10p = 13p 124 = 20 + 13p Solving 124 = 20 + 13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13p' to each side of the equation. 124 + -13p = 20 + 13p + -13p Combine like terms: 13p + -13p = 0 124 + -13p = 20 + 0 124 + -13p = 20 Add '-124' to each side of the equation. 124 + -124 + -13p = 20 + -124 Combine like terms: 124 + -124 = 0 0 + -13p = 20 + -124 -13p = 20 + -124 Combine like terms: 20 + -124 = -104 -13p = -104 Divide each side by '-13'. p = 8 Simplifying p = 8
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