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Simplifying 17 = 3(p + -5) + 7 Reorder the terms: 17 = 3(-5 + p) + 7 17 = (-5 * 3 + p * 3) + 7 17 = (-15 + 3p) + 7 Reorder the terms: 17 = -15 + 7 + 3p Combine like terms: -15 + 7 = -8 17 = -8 + 3p Solving 17 = -8 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 17 + -3p = -8 + 3p + -3p Combine like terms: 3p + -3p = 0 17 + -3p = -8 + 0 17 + -3p = -8 Add '-17' to each side of the equation. 17 + -17 + -3p = -8 + -17 Combine like terms: 17 + -17 = 0 0 + -3p = -8 + -17 -3p = -8 + -17 Combine like terms: -8 + -17 = -25 -3p = -25 Divide each side by '-3'. p = 8.333333333 Simplifying p = 8.333333333
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