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Simplifying -2(2p + 3) = 2(1 + -3p) Reorder the terms: -2(3 + 2p) = 2(1 + -3p) (3 * -2 + 2p * -2) = 2(1 + -3p) (-6 + -4p) = 2(1 + -3p) -6 + -4p = (1 * 2 + -3p * 2) -6 + -4p = (2 + -6p) Solving -6 + -4p = 2 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -6 + -4p + 6p = 2 + -6p + 6p Combine like terms: -4p + 6p = 2p -6 + 2p = 2 + -6p + 6p Combine like terms: -6p + 6p = 0 -6 + 2p = 2 + 0 -6 + 2p = 2 Add '6' to each side of the equation. -6 + 6 + 2p = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 2p = 2 + 6 2p = 2 + 6 Combine like terms: 2 + 6 = 8 2p = 8 Divide each side by '2'. p = 4 Simplifying p = 4
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