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Simplifying -7p + 11 = -8 + -5(1 + 3p) Reorder the terms: 11 + -7p = -8 + -5(1 + 3p) 11 + -7p = -8 + (1 * -5 + 3p * -5) 11 + -7p = -8 + (-5 + -15p) Combine like terms: -8 + -5 = -13 11 + -7p = -13 + -15p Solving 11 + -7p = -13 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 11 + -7p + 15p = -13 + -15p + 15p Combine like terms: -7p + 15p = 8p 11 + 8p = -13 + -15p + 15p Combine like terms: -15p + 15p = 0 11 + 8p = -13 + 0 11 + 8p = -13 Add '-11' to each side of the equation. 11 + -11 + 8p = -13 + -11 Combine like terms: 11 + -11 = 0 0 + 8p = -13 + -11 8p = -13 + -11 Combine like terms: -13 + -11 = -24 8p = -24 Divide each side by '8'. p = -3 Simplifying p = -3
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