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Simplifying -3p + -7(4p + 17) = 10 + 11 + -17p Reorder the terms: -3p + -7(17 + 4p) = 10 + 11 + -17p -3p + (17 * -7 + 4p * -7) = 10 + 11 + -17p -3p + (-119 + -28p) = 10 + 11 + -17p Reorder the terms: -119 + -3p + -28p = 10 + 11 + -17p Combine like terms: -3p + -28p = -31p -119 + -31p = 10 + 11 + -17p Combine like terms: 10 + 11 = 21 -119 + -31p = 21 + -17p Solving -119 + -31p = 21 + -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. -119 + -31p + 17p = 21 + -17p + 17p Combine like terms: -31p + 17p = -14p -119 + -14p = 21 + -17p + 17p Combine like terms: -17p + 17p = 0 -119 + -14p = 21 + 0 -119 + -14p = 21 Add '119' to each side of the equation. -119 + 119 + -14p = 21 + 119 Combine like terms: -119 + 119 = 0 0 + -14p = 21 + 119 -14p = 21 + 119 Combine like terms: 21 + 119 = 140 -14p = 140 Divide each side by '-14'. p = -10 Simplifying p = -10
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