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Simplifying -6(-3p + 6) = 6(12p + 3) Reorder the terms: -6(6 + -3p) = 6(12p + 3) (6 * -6 + -3p * -6) = 6(12p + 3) (-36 + 18p) = 6(12p + 3) Reorder the terms: -36 + 18p = 6(3 + 12p) -36 + 18p = (3 * 6 + 12p * 6) -36 + 18p = (18 + 72p) Solving -36 + 18p = 18 + 72p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-72p' to each side of the equation. -36 + 18p + -72p = 18 + 72p + -72p Combine like terms: 18p + -72p = -54p -36 + -54p = 18 + 72p + -72p Combine like terms: 72p + -72p = 0 -36 + -54p = 18 + 0 -36 + -54p = 18 Add '36' to each side of the equation. -36 + 36 + -54p = 18 + 36 Combine like terms: -36 + 36 = 0 0 + -54p = 18 + 36 -54p = 18 + 36 Combine like terms: 18 + 36 = 54 -54p = 54 Divide each side by '-54'. p = -1 Simplifying p = -1
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