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Simplifying 3762 = 38(p + 15) Reorder the terms: 3762 = 38(15 + p) 3762 = (15 * 38 + p * 38) 3762 = (570 + 38p) Solving 3762 = 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. 3762 + -38p = 570 + 38p + -38p Combine like terms: 38p + -38p = 0 3762 + -38p = 570 + 0 3762 + -38p = 570 Add '-3762' to each side of the equation. 3762 + -3762 + -38p = 570 + -3762 Combine like terms: 3762 + -3762 = 0 0 + -38p = 570 + -3762 -38p = 570 + -3762 Combine like terms: 570 + -3762 = -3192 -38p = -3192 Divide each side by '-38'. p = 84 Simplifying p = 84
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