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Simplifying -18p + -4(2 + -6p) = 4(p + -2) + -8 -18p + (2 * -4 + -6p * -4) = 4(p + -2) + -8 -18p + (-8 + 24p) = 4(p + -2) + -8 Reorder the terms: -8 + -18p + 24p = 4(p + -2) + -8 Combine like terms: -18p + 24p = 6p -8 + 6p = 4(p + -2) + -8 Reorder the terms: -8 + 6p = 4(-2 + p) + -8 -8 + 6p = (-2 * 4 + p * 4) + -8 -8 + 6p = (-8 + 4p) + -8 Reorder the terms: -8 + 6p = -8 + -8 + 4p Combine like terms: -8 + -8 = -16 -8 + 6p = -16 + 4p Solving -8 + 6p = -16 + 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 = -16 + 4p + -4p Combine like terms: 6p + -4p = 2p -8 + 2p = -16 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + 2p = -16 + 0 -8 + 2p = -16 Add '8' to each side of the equation. -8 + 8 + 2p = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -16 + 8 2p = -16 + 8 Combine like terms: -16 + 8 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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