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Simplifying 2 + -8(p + 4) = 4 + -6(p + 8) Reorder the terms: 2 + -8(4 + p) = 4 + -6(p + 8) 2 + (4 * -8 + p * -8) = 4 + -6(p + 8) 2 + (-32 + -8p) = 4 + -6(p + 8) Combine like terms: 2 + -32 = -30 -30 + -8p = 4 + -6(p + 8) Reorder the terms: -30 + -8p = 4 + -6(8 + p) -30 + -8p = 4 + (8 * -6 + p * -6) -30 + -8p = 4 + (-48 + -6p) Combine like terms: 4 + -48 = -44 -30 + -8p = -44 + -6p Solving -30 + -8p = -44 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -30 + -8p + 6p = -44 + -6p + 6p Combine like terms: -8p + 6p = -2p -30 + -2p = -44 + -6p + 6p Combine like terms: -6p + 6p = 0 -30 + -2p = -44 + 0 -30 + -2p = -44 Add '30' to each side of the equation. -30 + 30 + -2p = -44 + 30 Combine like terms: -30 + 30 = 0 0 + -2p = -44 + 30 -2p = -44 + 30 Combine like terms: -44 + 30 = -14 -2p = -14 Divide each side by '-2'. p = 7 Simplifying p = 7
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