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Simplifying -4p + -5(2 + -2p) = 4(p + -3) + -8 -4p + (2 * -5 + -2p * -5) = 4(p + -3) + -8 -4p + (-10 + 10p) = 4(p + -3) + -8 Reorder the terms: -10 + -4p + 10p = 4(p + -3) + -8 Combine like terms: -4p + 10p = 6p -10 + 6p = 4(p + -3) + -8 Reorder the terms: -10 + 6p = 4(-3 + p) + -8 -10 + 6p = (-3 * 4 + p * 4) + -8 -10 + 6p = (-12 + 4p) + -8 Reorder the terms: -10 + 6p = -12 + -8 + 4p Combine like terms: -12 + -8 = -20 -10 + 6p = -20 + 4p Solving -10 + 6p = -20 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -10 + 6p + -4p = -20 + 4p + -4p Combine like terms: 6p + -4p = 2p -10 + 2p = -20 + 4p + -4p Combine like terms: 4p + -4p = 0 -10 + 2p = -20 + 0 -10 + 2p = -20 Add '10' to each side of the equation. -10 + 10 + 2p = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -20 + 10 2p = -20 + 10 Combine like terms: -20 + 10 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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