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Simplifying 7(2p + -3) = -3(4p + 7) Reorder the terms: 7(-3 + 2p) = -3(4p + 7) (-3 * 7 + 2p * 7) = -3(4p + 7) (-21 + 14p) = -3(4p + 7) Reorder the terms: -21 + 14p = -3(7 + 4p) -21 + 14p = (7 * -3 + 4p * -3) -21 + 14p = (-21 + -12p) Add '21' to each side of the equation. -21 + 21 + 14p = -21 + 21 + -12p Combine like terms: -21 + 21 = 0 0 + 14p = -21 + 21 + -12p 14p = -21 + 21 + -12p Combine like terms: -21 + 21 = 0 14p = 0 + -12p 14p = -12p Solving 14p = -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 14p + 12p = -12p + 12p Combine like terms: 14p + 12p = 26p 26p = -12p + 12p Combine like terms: -12p + 12p = 0 26p = 0 Divide each side by '26'. p = 0 Simplifying p = 0
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