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Simplifying -5p + -4(4 + -3p) = 2(p + -5) + -6 -5p + (4 * -4 + -3p * -4) = 2(p + -5) + -6 -5p + (-16 + 12p) = 2(p + -5) + -6 Reorder the terms: -16 + -5p + 12p = 2(p + -5) + -6 Combine like terms: -5p + 12p = 7p -16 + 7p = 2(p + -5) + -6 Reorder the terms: -16 + 7p = 2(-5 + p) + -6 -16 + 7p = (-5 * 2 + p * 2) + -6 -16 + 7p = (-10 + 2p) + -6 Reorder the terms: -16 + 7p = -10 + -6 + 2p Combine like terms: -10 + -6 = -16 -16 + 7p = -16 + 2p Add '16' to each side of the equation. -16 + 16 + 7p = -16 + 16 + 2p Combine like terms: -16 + 16 = 0 0 + 7p = -16 + 16 + 2p 7p = -16 + 16 + 2p Combine like terms: -16 + 16 = 0 7p = 0 + 2p 7p = 2p Solving 7p = 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. 7p + -2p = 2p + -2p Combine like terms: 7p + -2p = 5p 5p = 2p + -2p Combine like terms: 2p + -2p = 0 5p = 0 Divide each side by '5'. p = 0 Simplifying p = 0
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