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Simplifying 7(-2p + -2) = -7p + -4(5 + p) Reorder the terms: 7(-2 + -2p) = -7p + -4(5 + p) (-2 * 7 + -2p * 7) = -7p + -4(5 + p) (-14 + -14p) = -7p + -4(5 + p) -14 + -14p = -7p + (5 * -4 + p * -4) -14 + -14p = -7p + (-20 + -4p) Reorder the terms: -14 + -14p = -20 + -7p + -4p Combine like terms: -7p + -4p = -11p -14 + -14p = -20 + -11p Solving -14 + -14p = -20 + -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. -14 + -14p + 11p = -20 + -11p + 11p Combine like terms: -14p + 11p = -3p -14 + -3p = -20 + -11p + 11p Combine like terms: -11p + 11p = 0 -14 + -3p = -20 + 0 -14 + -3p = -20 Add '14' to each side of the equation. -14 + 14 + -3p = -20 + 14 Combine like terms: -14 + 14 = 0 0 + -3p = -20 + 14 -3p = -20 + 14 Combine like terms: -20 + 14 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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