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Simplifying 32 + 8p = -4(3p + 3) + 4 Reorder the terms: 32 + 8p = -4(3 + 3p) + 4 32 + 8p = (3 * -4 + 3p * -4) + 4 32 + 8p = (-12 + -12p) + 4 Reorder the terms: 32 + 8p = -12 + 4 + -12p Combine like terms: -12 + 4 = -8 32 + 8p = -8 + -12p Solving 32 + 8p = -8 + -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. 32 + 8p + 12p = -8 + -12p + 12p Combine like terms: 8p + 12p = 20p 32 + 20p = -8 + -12p + 12p Combine like terms: -12p + 12p = 0 32 + 20p = -8 + 0 32 + 20p = -8 Add '-32' to each side of the equation. 32 + -32 + 20p = -8 + -32 Combine like terms: 32 + -32 = 0 0 + 20p = -8 + -32 20p = -8 + -32 Combine like terms: -8 + -32 = -40 20p = -40 Divide each side by '20'. p = -2 Simplifying p = -2
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