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Simplifying -15p + -4(5 + -5p) = 2(p + -6) + -8 -15p + (5 * -4 + -5p * -4) = 2(p + -6) + -8 -15p + (-20 + 20p) = 2(p + -6) + -8 Reorder the terms: -20 + -15p + 20p = 2(p + -6) + -8 Combine like terms: -15p + 20p = 5p -20 + 5p = 2(p + -6) + -8 Reorder the terms: -20 + 5p = 2(-6 + p) + -8 -20 + 5p = (-6 * 2 + p * 2) + -8 -20 + 5p = (-12 + 2p) + -8 Reorder the terms: -20 + 5p = -12 + -8 + 2p Combine like terms: -12 + -8 = -20 -20 + 5p = -20 + 2p Add '20' to each side of the equation. -20 + 20 + 5p = -20 + 20 + 2p Combine like terms: -20 + 20 = 0 0 + 5p = -20 + 20 + 2p 5p = -20 + 20 + 2p Combine like terms: -20 + 20 = 0 5p = 0 + 2p 5p = 2p Solving 5p = 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. 5p + -2p = 2p + -2p Combine like terms: 5p + -2p = 3p 3p = 2p + -2p Combine like terms: 2p + -2p = 0 3p = 0 Divide each side by '3'. p = 0 Simplifying p = 0
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