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Simplifying -32p + -6(3 + -6p) = 2(p + -2) + -18 -32p + (3 * -6 + -6p * -6) = 2(p + -2) + -18 -32p + (-18 + 36p) = 2(p + -2) + -18 Reorder the terms: -18 + -32p + 36p = 2(p + -2) + -18 Combine like terms: -32p + 36p = 4p -18 + 4p = 2(p + -2) + -18 Reorder the terms: -18 + 4p = 2(-2 + p) + -18 -18 + 4p = (-2 * 2 + p * 2) + -18 -18 + 4p = (-4 + 2p) + -18 Reorder the terms: -18 + 4p = -4 + -18 + 2p Combine like terms: -4 + -18 = -22 -18 + 4p = -22 + 2p Solving -18 + 4p = -22 + 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. -18 + 4p + -2p = -22 + 2p + -2p Combine like terms: 4p + -2p = 2p -18 + 2p = -22 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + 2p = -22 + 0 -18 + 2p = -22 Add '18' to each side of the equation. -18 + 18 + 2p = -22 + 18 Combine like terms: -18 + 18 = 0 0 + 2p = -22 + 18 2p = -22 + 18 Combine like terms: -22 + 18 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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