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Simplifying -10p + -4(5 + -4p) = 2(p + -6) + -20 -10p + (5 * -4 + -4p * -4) = 2(p + -6) + -20 -10p + (-20 + 16p) = 2(p + -6) + -20 Reorder the terms: -20 + -10p + 16p = 2(p + -6) + -20 Combine like terms: -10p + 16p = 6p -20 + 6p = 2(p + -6) + -20 Reorder the terms: -20 + 6p = 2(-6 + p) + -20 -20 + 6p = (-6 * 2 + p * 2) + -20 -20 + 6p = (-12 + 2p) + -20 Reorder the terms: -20 + 6p = -12 + -20 + 2p Combine like terms: -12 + -20 = -32 -20 + 6p = -32 + 2p Solving -20 + 6p = -32 + 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. -20 + 6p + -2p = -32 + 2p + -2p Combine like terms: 6p + -2p = 4p -20 + 4p = -32 + 2p + -2p Combine like terms: 2p + -2p = 0 -20 + 4p = -32 + 0 -20 + 4p = -32 Add '20' to each side of the equation. -20 + 20 + 4p = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 4p = -32 + 20 4p = -32 + 20 Combine like terms: -32 + 20 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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