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Simplifying 3p + -2(2 + -2p) = 2(1p + -4) + -31 3p + (2 * -2 + -2p * -2) = 2(1p + -4) + -31 3p + (-4 + 4p) = 2(1p + -4) + -31 Reorder the terms: -4 + 3p + 4p = 2(1p + -4) + -31 Combine like terms: 3p + 4p = 7p -4 + 7p = 2(1p + -4) + -31 Reorder the terms: -4 + 7p = 2(-4 + 1p) + -31 -4 + 7p = (-4 * 2 + 1p * 2) + -31 -4 + 7p = (-8 + 2p) + -31 Reorder the terms: -4 + 7p = -8 + -31 + 2p Combine like terms: -8 + -31 = -39 -4 + 7p = -39 + 2p Solving -4 + 7p = -39 + 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 = -39 + 2p + -2p Combine like terms: 7p + -2p = 5p -4 + 5p = -39 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 5p = -39 + 0 -4 + 5p = -39 Add '4' to each side of the equation. -4 + 4 + 5p = -39 + 4 Combine like terms: -4 + 4 = 0 0 + 5p = -39 + 4 5p = -39 + 4 Combine like terms: -39 + 4 = -35 5p = -35 Divide each side by '5'. p = -7 Simplifying p = -7
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