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Simplifying 7p + -17 = -5(4p + -3) + 3p Reorder the terms: -17 + 7p = -5(4p + -3) + 3p Reorder the terms: -17 + 7p = -5(-3 + 4p) + 3p -17 + 7p = (-3 * -5 + 4p * -5) + 3p -17 + 7p = (15 + -20p) + 3p Combine like terms: -20p + 3p = -17p -17 + 7p = 15 + -17p Solving -17 + 7p = 15 + -17p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '17p' to each side of the equation. -17 + 7p + 17p = 15 + -17p + 17p Combine like terms: 7p + 17p = 24p -17 + 24p = 15 + -17p + 17p Combine like terms: -17p + 17p = 0 -17 + 24p = 15 + 0 -17 + 24p = 15 Add '17' to each side of the equation. -17 + 17 + 24p = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 24p = 15 + 17 24p = 15 + 17 Combine like terms: 15 + 17 = 32 24p = 32 Divide each side by '24'. p = 1.333333333 Simplifying p = 1.333333333
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