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Simplifying -32 + -7p = 3 + -4(3p + 5) Reorder the terms: -32 + -7p = 3 + -4(5 + 3p) -32 + -7p = 3 + (5 * -4 + 3p * -4) -32 + -7p = 3 + (-20 + -12p) Combine like terms: 3 + -20 = -17 -32 + -7p = -17 + -12p Solving -32 + -7p = -17 + -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 + -7p + 12p = -17 + -12p + 12p Combine like terms: -7p + 12p = 5p -32 + 5p = -17 + -12p + 12p Combine like terms: -12p + 12p = 0 -32 + 5p = -17 + 0 -32 + 5p = -17 Add '32' to each side of the equation. -32 + 32 + 5p = -17 + 32 Combine like terms: -32 + 32 = 0 0 + 5p = -17 + 32 5p = -17 + 32 Combine like terms: -17 + 32 = 15 5p = 15 Divide each side by '5'. p = 3 Simplifying p = 3
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