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Simplifying -4(3p + 3) + -15 = 3(4p + 7) Reorder the terms: -4(3 + 3p) + -15 = 3(4p + 7) (3 * -4 + 3p * -4) + -15 = 3(4p + 7) (-12 + -12p) + -15 = 3(4p + 7) Reorder the terms: -12 + -15 + -12p = 3(4p + 7) Combine like terms: -12 + -15 = -27 -27 + -12p = 3(4p + 7) Reorder the terms: -27 + -12p = 3(7 + 4p) -27 + -12p = (7 * 3 + 4p * 3) -27 + -12p = (21 + 12p) Solving -27 + -12p = 21 + 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. -27 + -12p + -12p = 21 + 12p + -12p Combine like terms: -12p + -12p = -24p -27 + -24p = 21 + 12p + -12p Combine like terms: 12p + -12p = 0 -27 + -24p = 21 + 0 -27 + -24p = 21 Add '27' to each side of the equation. -27 + 27 + -24p = 21 + 27 Combine like terms: -27 + 27 = 0 0 + -24p = 21 + 27 -24p = 21 + 27 Combine like terms: 21 + 27 = 48 -24p = 48 Divide each side by '-24'. p = -2 Simplifying p = -2
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