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Simplifying 2p + -3(2p + -4) = p + 12 Reorder the terms: 2p + -3(-4 + 2p) = p + 12 2p + (-4 * -3 + 2p * -3) = p + 12 2p + (12 + -6p) = p + 12 Reorder the terms: 12 + 2p + -6p = p + 12 Combine like terms: 2p + -6p = -4p 12 + -4p = p + 12 Reorder the terms: 12 + -4p = 12 + p Add '-12' to each side of the equation. 12 + -12 + -4p = 12 + -12 + p Combine like terms: 12 + -12 = 0 0 + -4p = 12 + -12 + p -4p = 12 + -12 + p Combine like terms: 12 + -12 = 0 -4p = 0 + p -4p = p Solving -4p = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -4p + -1p = p + -1p Combine like terms: -4p + -1p = -5p -5p = p + -1p Combine like terms: p + -1p = 0 -5p = 0 Divide each side by '-5'. p = 0 Simplifying p = 0
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