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Simplifying -6(3p + 2) + -33 = 3(4p + 5) Reorder the terms: -6(2 + 3p) + -33 = 3(4p + 5) (2 * -6 + 3p * -6) + -33 = 3(4p + 5) (-12 + -18p) + -33 = 3(4p + 5) Reorder the terms: -12 + -33 + -18p = 3(4p + 5) Combine like terms: -12 + -33 = -45 -45 + -18p = 3(4p + 5) Reorder the terms: -45 + -18p = 3(5 + 4p) -45 + -18p = (5 * 3 + 4p * 3) -45 + -18p = (15 + 12p) Solving -45 + -18p = 15 + 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. -45 + -18p + -12p = 15 + 12p + -12p Combine like terms: -18p + -12p = -30p -45 + -30p = 15 + 12p + -12p Combine like terms: 12p + -12p = 0 -45 + -30p = 15 + 0 -45 + -30p = 15 Add '45' to each side of the equation. -45 + 45 + -30p = 15 + 45 Combine like terms: -45 + 45 = 0 0 + -30p = 15 + 45 -30p = 15 + 45 Combine like terms: 15 + 45 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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