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Simplifying 11 + 2p = 3 + 6(p + -2) Reorder the terms: 11 + 2p = 3 + 6(-2 + p) 11 + 2p = 3 + (-2 * 6 + p * 6) 11 + 2p = 3 + (-12 + 6p) Combine like terms: 3 + -12 = -9 11 + 2p = -9 + 6p Solving 11 + 2p = -9 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 11 + 2p + -6p = -9 + 6p + -6p Combine like terms: 2p + -6p = -4p 11 + -4p = -9 + 6p + -6p Combine like terms: 6p + -6p = 0 11 + -4p = -9 + 0 11 + -4p = -9 Add '-11' to each side of the equation. 11 + -11 + -4p = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -4p = -9 + -11 -4p = -9 + -11 Combine like terms: -9 + -11 = -20 -4p = -20 Divide each side by '-4'. p = 5 Simplifying p = 5
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