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Simplifying 3230 = 38(p + 15) Reorder the terms: 3230 = 38(15 + p) 3230 = (15 * 38 + p * 38) 3230 = (570 + 38p) Solving 3230 = 570 + 38p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-38p' to each side of the equation. 3230 + -38p = 570 + 38p + -38p Combine like terms: 38p + -38p = 0 3230 + -38p = 570 + 0 3230 + -38p = 570 Add '-3230' to each side of the equation. 3230 + -3230 + -38p = 570 + -3230 Combine like terms: 3230 + -3230 = 0 0 + -38p = 570 + -3230 -38p = 570 + -3230 Combine like terms: 570 + -3230 = -2660 -38p = -2660 Divide each side by '-38'. p = 70 Simplifying p = 70
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