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Simplifying 174 = 9(2) + 4p + 4(20) Multiply 9 * 2 174 = 18 + 4p + 4(20) Multiply 4 * 20 174 = 18 + 4p + 80 Reorder the terms: 174 = 18 + 80 + 4p Combine like terms: 18 + 80 = 98 174 = 98 + 4p Solving 174 = 98 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 174 + -4p = 98 + 4p + -4p Combine like terms: 4p + -4p = 0 174 + -4p = 98 + 0 174 + -4p = 98 Add '-174' to each side of the equation. 174 + -174 + -4p = 98 + -174 Combine like terms: 174 + -174 = 0 0 + -4p = 98 + -174 -4p = 98 + -174 Combine like terms: 98 + -174 = -76 -4p = -76 Divide each side by '-4'. p = 19 Simplifying p = 19
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