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Simplifying 2p + -2(7 + 7p) = -2(4p + 1) 2p + (7 * -2 + 7p * -2) = -2(4p + 1) 2p + (-14 + -14p) = -2(4p + 1) Reorder the terms: -14 + 2p + -14p = -2(4p + 1) Combine like terms: 2p + -14p = -12p -14 + -12p = -2(4p + 1) Reorder the terms: -14 + -12p = -2(1 + 4p) -14 + -12p = (1 * -2 + 4p * -2) -14 + -12p = (-2 + -8p) Solving -14 + -12p = -2 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -14 + -12p + 8p = -2 + -8p + 8p Combine like terms: -12p + 8p = -4p -14 + -4p = -2 + -8p + 8p Combine like terms: -8p + 8p = 0 -14 + -4p = -2 + 0 -14 + -4p = -2 Add '14' to each side of the equation. -14 + 14 + -4p = -2 + 14 Combine like terms: -14 + 14 = 0 0 + -4p = -2 + 14 -4p = -2 + 14 Combine like terms: -2 + 14 = 12 -4p = 12 Divide each side by '-4'. p = -3 Simplifying p = -3
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