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Simplifying -2(p + 3) + 2 = 4 + -1p Reorder the terms: -2(3 + p) + 2 = 4 + -1p (3 * -2 + p * -2) + 2 = 4 + -1p (-6 + -2p) + 2 = 4 + -1p Reorder the terms: -6 + 2 + -2p = 4 + -1p Combine like terms: -6 + 2 = -4 -4 + -2p = 4 + -1p Solving -4 + -2p = 4 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -4 + -2p + p = 4 + -1p + p Combine like terms: -2p + p = -1p -4 + -1p = 4 + -1p + p Combine like terms: -1p + p = 0 -4 + -1p = 4 + 0 -4 + -1p = 4 Add '4' to each side of the equation. -4 + 4 + -1p = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 4 + 4 -1p = 4 + 4 Combine like terms: 4 + 4 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8
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