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Simplifying 11(2p + 1) = 4p + -7 Reorder the terms: 11(1 + 2p) = 4p + -7 (1 * 11 + 2p * 11) = 4p + -7 (11 + 22p) = 4p + -7 Reorder the terms: 11 + 22p = -7 + 4p Solving 11 + 22p = -7 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 11 + 22p + -4p = -7 + 4p + -4p Combine like terms: 22p + -4p = 18p 11 + 18p = -7 + 4p + -4p Combine like terms: 4p + -4p = 0 11 + 18p = -7 + 0 11 + 18p = -7 Add '-11' to each side of the equation. 11 + -11 + 18p = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 18p = -7 + -11 18p = -7 + -11 Combine like terms: -7 + -11 = -18 18p = -18 Divide each side by '18'. p = -1 Simplifying p = -1
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