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Simplifying -4(3p + 3) + -18 = 3(4p + 6) Reorder the terms: -4(3 + 3p) + -18 = 3(4p + 6) (3 * -4 + 3p * -4) + -18 = 3(4p + 6) (-12 + -12p) + -18 = 3(4p + 6) Reorder the terms: -12 + -18 + -12p = 3(4p + 6) Combine like terms: -12 + -18 = -30 -30 + -12p = 3(4p + 6) Reorder the terms: -30 + -12p = 3(6 + 4p) -30 + -12p = (6 * 3 + 4p * 3) -30 + -12p = (18 + 12p) Solving -30 + -12p = 18 + 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. -30 + -12p + -12p = 18 + 12p + -12p Combine like terms: -12p + -12p = -24p -30 + -24p = 18 + 12p + -12p Combine like terms: 12p + -12p = 0 -30 + -24p = 18 + 0 -30 + -24p = 18 Add '30' to each side of the equation. -30 + 30 + -24p = 18 + 30 Combine like terms: -30 + 30 = 0 0 + -24p = 18 + 30 -24p = 18 + 30 Combine like terms: 18 + 30 = 48 -24p = 48 Divide each side by '-24'. p = -2 Simplifying p = -2
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