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Simplifying -12p + -3(6 + -6p) = 4(p + -2) -12p + (6 * -3 + -6p * -3) = 4(p + -2) -12p + (-18 + 18p) = 4(p + -2) Reorder the terms: -18 + -12p + 18p = 4(p + -2) Combine like terms: -12p + 18p = 6p -18 + 6p = 4(p + -2) Reorder the terms: -18 + 6p = 4(-2 + p) -18 + 6p = (-2 * 4 + p * 4) -18 + 6p = (-8 + 4p) Solving -18 + 6p = -8 + 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. -18 + 6p + -4p = -8 + 4p + -4p Combine like terms: 6p + -4p = 2p -18 + 2p = -8 + 4p + -4p Combine like terms: 4p + -4p = 0 -18 + 2p = -8 + 0 -18 + 2p = -8 Add '18' to each side of the equation. -18 + 18 + 2p = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 2p = -8 + 18 2p = -8 + 18 Combine like terms: -8 + 18 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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