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Simplifying 3(p + -2) = 7(2p + -4) Reorder the terms: 3(-2 + p) = 7(2p + -4) (-2 * 3 + p * 3) = 7(2p + -4) (-6 + 3p) = 7(2p + -4) Reorder the terms: -6 + 3p = 7(-4 + 2p) -6 + 3p = (-4 * 7 + 2p * 7) -6 + 3p = (-28 + 14p) Solving -6 + 3p = -28 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. -6 + 3p + -14p = -28 + 14p + -14p Combine like terms: 3p + -14p = -11p -6 + -11p = -28 + 14p + -14p Combine like terms: 14p + -14p = 0 -6 + -11p = -28 + 0 -6 + -11p = -28 Add '6' to each side of the equation. -6 + 6 + -11p = -28 + 6 Combine like terms: -6 + 6 = 0 0 + -11p = -28 + 6 -11p = -28 + 6 Combine like terms: -28 + 6 = -22 -11p = -22 Divide each side by '-11'. p = 2 Simplifying p = 2
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