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Simplifying -18p + -4(2 + -6p) = 4(p + -3) + -4 -18p + (2 * -4 + -6p * -4) = 4(p + -3) + -4 -18p + (-8 + 24p) = 4(p + -3) + -4 Reorder the terms: -8 + -18p + 24p = 4(p + -3) + -4 Combine like terms: -18p + 24p = 6p -8 + 6p = 4(p + -3) + -4 Reorder the terms: -8 + 6p = 4(-3 + p) + -4 -8 + 6p = (-3 * 4 + p * 4) + -4 -8 + 6p = (-12 + 4p) + -4 Reorder the terms: -8 + 6p = -12 + -4 + 4p Combine like terms: -12 + -4 = -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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