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Simplifying 4294 = 38(p + 35) Reorder the terms: 4294 = 38(35 + p) 4294 = (35 * 38 + p * 38) 4294 = (1330 + 38p) Solving 4294 = 1330 + 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. 4294 + -38p = 1330 + 38p + -38p Combine like terms: 38p + -38p = 0 4294 + -38p = 1330 + 0 4294 + -38p = 1330 Add '-4294' to each side of the equation. 4294 + -4294 + -38p = 1330 + -4294 Combine like terms: 4294 + -4294 = 0 0 + -38p = 1330 + -4294 -38p = 1330 + -4294 Combine like terms: 1330 + -4294 = -2964 -38p = -2964 Divide each side by '-38'. p = 78 Simplifying p = 78
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