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Simplifying -4(3p + 4) + -32 = 3(4p + 8) Reorder the terms: -4(4 + 3p) + -32 = 3(4p + 8) (4 * -4 + 3p * -4) + -32 = 3(4p + 8) (-16 + -12p) + -32 = 3(4p + 8) Reorder the terms: -16 + -32 + -12p = 3(4p + 8) Combine like terms: -16 + -32 = -48 -48 + -12p = 3(4p + 8) Reorder the terms: -48 + -12p = 3(8 + 4p) -48 + -12p = (8 * 3 + 4p * 3) -48 + -12p = (24 + 12p) Solving -48 + -12p = 24 + 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. -48 + -12p + -12p = 24 + 12p + -12p Combine like terms: -12p + -12p = -24p -48 + -24p = 24 + 12p + -12p Combine like terms: 12p + -12p = 0 -48 + -24p = 24 + 0 -48 + -24p = 24 Add '48' to each side of the equation. -48 + 48 + -24p = 24 + 48 Combine like terms: -48 + 48 = 0 0 + -24p = 24 + 48 -24p = 24 + 48 Combine like terms: 24 + 48 = 72 -24p = 72 Divide each side by '-24'. p = -3 Simplifying p = -3
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