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Simplifying -6(12 + 2p) = -6(p + 3) (12 * -6 + 2p * -6) = -6(p + 3) (-72 + -12p) = -6(p + 3) Reorder the terms: -72 + -12p = -6(3 + p) -72 + -12p = (3 * -6 + p * -6) -72 + -12p = (-18 + -6p) Solving -72 + -12p = -18 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -72 + -12p + 6p = -18 + -6p + 6p Combine like terms: -12p + 6p = -6p -72 + -6p = -18 + -6p + 6p Combine like terms: -6p + 6p = 0 -72 + -6p = -18 + 0 -72 + -6p = -18 Add '72' to each side of the equation. -72 + 72 + -6p = -18 + 72 Combine like terms: -72 + 72 = 0 0 + -6p = -18 + 72 -6p = -18 + 72 Combine like terms: -18 + 72 = 54 -6p = 54 Divide each side by '-6'. p = -9 Simplifying p = -9
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