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Simplifying -9p + -4(6 + -4p) = 2(p + -4) + -36 -9p + (6 * -4 + -4p * -4) = 2(p + -4) + -36 -9p + (-24 + 16p) = 2(p + -4) + -36 Reorder the terms: -24 + -9p + 16p = 2(p + -4) + -36 Combine like terms: -9p + 16p = 7p -24 + 7p = 2(p + -4) + -36 Reorder the terms: -24 + 7p = 2(-4 + p) + -36 -24 + 7p = (-4 * 2 + p * 2) + -36 -24 + 7p = (-8 + 2p) + -36 Reorder the terms: -24 + 7p = -8 + -36 + 2p Combine like terms: -8 + -36 = -44 -24 + 7p = -44 + 2p Solving -24 + 7p = -44 + 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. -24 + 7p + -2p = -44 + 2p + -2p Combine like terms: 7p + -2p = 5p -24 + 5p = -44 + 2p + -2p Combine like terms: 2p + -2p = 0 -24 + 5p = -44 + 0 -24 + 5p = -44 Add '24' to each side of the equation. -24 + 24 + 5p = -44 + 24 Combine like terms: -24 + 24 = 0 0 + 5p = -44 + 24 5p = -44 + 24 Combine like terms: -44 + 24 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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