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Simplifying -5p + -2(3p + -5) = -2(p + -4) Reorder the terms: -5p + -2(-5 + 3p) = -2(p + -4) -5p + (-5 * -2 + 3p * -2) = -2(p + -4) -5p + (10 + -6p) = -2(p + -4) Reorder the terms: 10 + -5p + -6p = -2(p + -4) Combine like terms: -5p + -6p = -11p 10 + -11p = -2(p + -4) Reorder the terms: 10 + -11p = -2(-4 + p) 10 + -11p = (-4 * -2 + p * -2) 10 + -11p = (8 + -2p) Solving 10 + -11p = 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. 10 + -11p + 2p = 8 + -2p + 2p Combine like terms: -11p + 2p = -9p 10 + -9p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 10 + -9p = 8 + 0 10 + -9p = 8 Add '-10' to each side of the equation. 10 + -10 + -9p = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -9p = 8 + -10 -9p = 8 + -10 Combine like terms: 8 + -10 = -2 -9p = -2 Divide each side by '-9'. p = 0.2222222222 Simplifying p = 0.2222222222
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