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Simplifying -2(-8 + 6p) + 5 = -8p + -11 (-8 * -2 + 6p * -2) + 5 = -8p + -11 (16 + -12p) + 5 = -8p + -11 Reorder the terms: 16 + 5 + -12p = -8p + -11 Combine like terms: 16 + 5 = 21 21 + -12p = -8p + -11 Reorder the terms: 21 + -12p = -11 + -8p Solving 21 + -12p = -11 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 21 + -12p + 8p = -11 + -8p + 8p Combine like terms: -12p + 8p = -4p 21 + -4p = -11 + -8p + 8p Combine like terms: -8p + 8p = 0 21 + -4p = -11 + 0 21 + -4p = -11 Add '-21' to each side of the equation. 21 + -21 + -4p = -11 + -21 Combine like terms: 21 + -21 = 0 0 + -4p = -11 + -21 -4p = -11 + -21 Combine like terms: -11 + -21 = -32 -4p = -32 Divide each side by '-4'. p = 8 Simplifying p = 8
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