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Simplifying -10p + -3(4 + -5p) = 2(p + -5) + -2 -10p + (4 * -3 + -5p * -3) = 2(p + -5) + -2 -10p + (-12 + 15p) = 2(p + -5) + -2 Reorder the terms: -12 + -10p + 15p = 2(p + -5) + -2 Combine like terms: -10p + 15p = 5p -12 + 5p = 2(p + -5) + -2 Reorder the terms: -12 + 5p = 2(-5 + p) + -2 -12 + 5p = (-5 * 2 + p * 2) + -2 -12 + 5p = (-10 + 2p) + -2 Reorder the terms: -12 + 5p = -10 + -2 + 2p Combine like terms: -10 + -2 = -12 -12 + 5p = -12 + 2p Add '12' to each side of the equation. -12 + 12 + 5p = -12 + 12 + 2p Combine like terms: -12 + 12 = 0 0 + 5p = -12 + 12 + 2p 5p = -12 + 12 + 2p Combine like terms: -12 + 12 = 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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