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Simplifying 8p + 2 + 12p = -11p + -8(-2p + -19) Reorder the terms: 2 + 8p + 12p = -11p + -8(-2p + -19) Combine like terms: 8p + 12p = 20p 2 + 20p = -11p + -8(-2p + -19) Reorder the terms: 2 + 20p = -11p + -8(-19 + -2p) 2 + 20p = -11p + (-19 * -8 + -2p * -8) 2 + 20p = -11p + (152 + 16p) Reorder the terms: 2 + 20p = 152 + -11p + 16p Combine like terms: -11p + 16p = 5p 2 + 20p = 152 + 5p Solving 2 + 20p = 152 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 2 + 20p + -5p = 152 + 5p + -5p Combine like terms: 20p + -5p = 15p 2 + 15p = 152 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + 15p = 152 + 0 2 + 15p = 152 Add '-2' to each side of the equation. 2 + -2 + 15p = 152 + -2 Combine like terms: 2 + -2 = 0 0 + 15p = 152 + -2 15p = 152 + -2 Combine like terms: 152 + -2 = 150 15p = 150 Divide each side by '15'. p = 10 Simplifying p = 10
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