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Simplifying -6(3p + 3) + -33 = 3(4p + 3) Reorder the terms: -6(3 + 3p) + -33 = 3(4p + 3) (3 * -6 + 3p * -6) + -33 = 3(4p + 3) (-18 + -18p) + -33 = 3(4p + 3) Reorder the terms: -18 + -33 + -18p = 3(4p + 3) Combine like terms: -18 + -33 = -51 -51 + -18p = 3(4p + 3) Reorder the terms: -51 + -18p = 3(3 + 4p) -51 + -18p = (3 * 3 + 4p * 3) -51 + -18p = (9 + 12p) Solving -51 + -18p = 9 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -51 + -18p + -12p = 9 + 12p + -12p Combine like terms: -18p + -12p = -30p -51 + -30p = 9 + 12p + -12p Combine like terms: 12p + -12p = 0 -51 + -30p = 9 + 0 -51 + -30p = 9 Add '51' to each side of the equation. -51 + 51 + -30p = 9 + 51 Combine like terms: -51 + 51 = 0 0 + -30p = 9 + 51 -30p = 9 + 51 Combine like terms: 9 + 51 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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