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Simplifying 3p + -2(2 + -2p) = 2(p + -2) + -20 3p + (2 * -2 + -2p * -2) = 2(p + -2) + -20 3p + (-4 + 4p) = 2(p + -2) + -20 Reorder the terms: -4 + 3p + 4p = 2(p + -2) + -20 Combine like terms: 3p + 4p = 7p -4 + 7p = 2(p + -2) + -20 Reorder the terms: -4 + 7p = 2(-2 + p) + -20 -4 + 7p = (-2 * 2 + p * 2) + -20 -4 + 7p = (-4 + 2p) + -20 Reorder the terms: -4 + 7p = -4 + -20 + 2p Combine like terms: -4 + -20 = -24 -4 + 7p = -24 + 2p Solving -4 + 7p = -24 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -4 + 7p + -2p = -24 + 2p + -2p Combine like terms: 7p + -2p = 5p -4 + 5p = -24 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 5p = -24 + 0 -4 + 5p = -24 Add '4' to each side of the equation. -4 + 4 + 5p = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 5p = -24 + 4 5p = -24 + 4 Combine like terms: -24 + 4 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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