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Simplifying 11 + 2p + 2p = 12(p + 1) + -1(p + 11) Combine like terms: 2p + 2p = 4p 11 + 4p = 12(p + 1) + -1(p + 11) Reorder the terms: 11 + 4p = 12(1 + p) + -1(p + 11) 11 + 4p = (1 * 12 + p * 12) + -1(p + 11) 11 + 4p = (12 + 12p) + -1(p + 11) Reorder the terms: 11 + 4p = 12 + 12p + -1(11 + p) 11 + 4p = 12 + 12p + (11 * -1 + p * -1) 11 + 4p = 12 + 12p + (-11 + -1p) Reorder the terms: 11 + 4p = 12 + -11 + 12p + -1p Combine like terms: 12 + -11 = 1 11 + 4p = 1 + 12p + -1p Combine like terms: 12p + -1p = 11p 11 + 4p = 1 + 11p Solving 11 + 4p = 1 + 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. 11 + 4p + -11p = 1 + 11p + -11p Combine like terms: 4p + -11p = -7p 11 + -7p = 1 + 11p + -11p Combine like terms: 11p + -11p = 0 11 + -7p = 1 + 0 11 + -7p = 1 Add '-11' to each side of the equation. 11 + -11 + -7p = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -7p = 1 + -11 -7p = 1 + -11 Combine like terms: 1 + -11 = -10 -7p = -10 Divide each side by '-7'. p = 1.428571429 Simplifying p = 1.428571429
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