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Simplifying 2(3p + -1) + -2p = 3p + 12 Reorder the terms: 2(-1 + 3p) + -2p = 3p + 12 (-1 * 2 + 3p * 2) + -2p = 3p + 12 (-2 + 6p) + -2p = 3p + 12 Combine like terms: 6p + -2p = 4p -2 + 4p = 3p + 12 Reorder the terms: -2 + 4p = 12 + 3p Solving -2 + 4p = 12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -2 + 4p + -3p = 12 + 3p + -3p Combine like terms: 4p + -3p = 1p -2 + 1p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 -2 + 1p = 12 + 0 -2 + 1p = 12 Add '2' to each side of the equation. -2 + 2 + 1p = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 1p = 12 + 2 1p = 12 + 2 Combine like terms: 12 + 2 = 14 1p = 14 Divide each side by '1'. p = 14 Simplifying p = 14
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