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Simplifying 52 = 4(3p + 1) Reorder the terms: 52 = 4(1 + 3p) 52 = (1 * 4 + 3p * 4) 52 = (4 + 12p) Solving 52 = 4 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 52 + -12p = 4 + 12p + -12p Combine like terms: 12p + -12p = 0 52 + -12p = 4 + 0 52 + -12p = 4 Add '-52' to each side of the equation. 52 + -52 + -12p = 4 + -52 Combine like terms: 52 + -52 = 0 0 + -12p = 4 + -52 -12p = 4 + -52 Combine like terms: 4 + -52 = -48 -12p = -48 Divide each side by '-12'. p = 4 Simplifying p = 4
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