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Simplifying 223 = -6p + 5(4 + 7p) 223 = -6p + (4 * 5 + 7p * 5) 223 = -6p + (20 + 35p) Reorder the terms: 223 = 20 + -6p + 35p Combine like terms: -6p + 35p = 29p 223 = 20 + 29p Solving 223 = 20 + 29p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-29p' to each side of the equation. 223 + -29p = 20 + 29p + -29p Combine like terms: 29p + -29p = 0 223 + -29p = 20 + 0 223 + -29p = 20 Add '-223' to each side of the equation. 223 + -223 + -29p = 20 + -223 Combine like terms: 223 + -223 = 0 0 + -29p = 20 + -223 -29p = 20 + -223 Combine like terms: 20 + -223 = -203 -29p = -203 Divide each side by '-29'. p = 7 Simplifying p = 7
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