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Simplifying -2p + -2(2 + -3p) = 2(p + -3) + -2 -2p + (2 * -2 + -3p * -2) = 2(p + -3) + -2 -2p + (-4 + 6p) = 2(p + -3) + -2 Reorder the terms: -4 + -2p + 6p = 2(p + -3) + -2 Combine like terms: -2p + 6p = 4p -4 + 4p = 2(p + -3) + -2 Reorder the terms: -4 + 4p = 2(-3 + p) + -2 -4 + 4p = (-3 * 2 + p * 2) + -2 -4 + 4p = (-6 + 2p) + -2 Reorder the terms: -4 + 4p = -6 + -2 + 2p Combine like terms: -6 + -2 = -8 -4 + 4p = -8 + 2p Solving -4 + 4p = -8 + 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 + 4p + -2p = -8 + 2p + -2p Combine like terms: 4p + -2p = 2p -4 + 2p = -8 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 2p = -8 + 0 -4 + 2p = -8 Add '4' to each side of the equation. -4 + 4 + 2p = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = -8 + 4 2p = -8 + 4 Combine like terms: -8 + 4 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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