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Simplifying 5p + -6(2p + 1) = 4p + -2 Reorder the terms: 5p + -6(1 + 2p) = 4p + -2 5p + (1 * -6 + 2p * -6) = 4p + -2 5p + (-6 + -12p) = 4p + -2 Reorder the terms: -6 + 5p + -12p = 4p + -2 Combine like terms: 5p + -12p = -7p -6 + -7p = 4p + -2 Reorder the terms: -6 + -7p = -2 + 4p Solving -6 + -7p = -2 + 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. -6 + -7p + -4p = -2 + 4p + -4p Combine like terms: -7p + -4p = -11p -6 + -11p = -2 + 4p + -4p Combine like terms: 4p + -4p = 0 -6 + -11p = -2 + 0 -6 + -11p = -2 Add '6' to each side of the equation. -6 + 6 + -11p = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -11p = -2 + 6 -11p = -2 + 6 Combine like terms: -2 + 6 = 4 -11p = 4 Divide each side by '-11'. p = -0.3636363636 Simplifying p = -0.3636363636
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