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Simplifying -2p + -2(4 + -4p) = 4(p + -4) + -18 -2p + (4 * -2 + -4p * -2) = 4(p + -4) + -18 -2p + (-8 + 8p) = 4(p + -4) + -18 Reorder the terms: -8 + -2p + 8p = 4(p + -4) + -18 Combine like terms: -2p + 8p = 6p -8 + 6p = 4(p + -4) + -18 Reorder the terms: -8 + 6p = 4(-4 + p) + -18 -8 + 6p = (-4 * 4 + p * 4) + -18 -8 + 6p = (-16 + 4p) + -18 Reorder the terms: -8 + 6p = -16 + -18 + 4p Combine like terms: -16 + -18 = -34 -8 + 6p = -34 + 4p Solving -8 + 6p = -34 + 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. -8 + 6p + -4p = -34 + 4p + -4p Combine like terms: 6p + -4p = 2p -8 + 2p = -34 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + 2p = -34 + 0 -8 + 2p = -34 Add '8' to each side of the equation. -8 + 8 + 2p = -34 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -34 + 8 2p = -34 + 8 Combine like terms: -34 + 8 = -26 2p = -26 Divide each side by '2'. p = -13 Simplifying p = -13
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