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Simplifying 7p + -6 = 10 + 11(p + 2) Reorder the terms: -6 + 7p = 10 + 11(p + 2) Reorder the terms: -6 + 7p = 10 + 11(2 + p) -6 + 7p = 10 + (2 * 11 + p * 11) -6 + 7p = 10 + (22 + 11p) Combine like terms: 10 + 22 = 32 -6 + 7p = 32 + 11p Solving -6 + 7p = 32 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. -6 + 7p + -11p = 32 + 11p + -11p Combine like terms: 7p + -11p = -4p -6 + -4p = 32 + 11p + -11p Combine like terms: 11p + -11p = 0 -6 + -4p = 32 + 0 -6 + -4p = 32 Add '6' to each side of the equation. -6 + 6 + -4p = 32 + 6 Combine like terms: -6 + 6 = 0 0 + -4p = 32 + 6 -4p = 32 + 6 Combine like terms: 32 + 6 = 38 -4p = 38 Divide each side by '-4'. p = -9.5 Simplifying p = -9.5
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