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Simplifying 2(p + -7) + -3p = -12 + -3p Reorder the terms: 2(-7 + p) + -3p = -12 + -3p (-7 * 2 + p * 2) + -3p = -12 + -3p (-14 + 2p) + -3p = -12 + -3p Combine like terms: 2p + -3p = -1p -14 + -1p = -12 + -3p Solving -14 + -1p = -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. -14 + -1p + 3p = -12 + -3p + 3p Combine like terms: -1p + 3p = 2p -14 + 2p = -12 + -3p + 3p Combine like terms: -3p + 3p = 0 -14 + 2p = -12 + 0 -14 + 2p = -12 Add '14' to each side of the equation. -14 + 14 + 2p = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 2p = -12 + 14 2p = -12 + 14 Combine like terms: -12 + 14 = 2 2p = 2 Divide each side by '2'. p = 1 Simplifying p = 1
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