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Simplifying 5(6p + -5) + -7 = -3p + -32 Reorder the terms: 5(-5 + 6p) + -7 = -3p + -32 (-5 * 5 + 6p * 5) + -7 = -3p + -32 (-25 + 30p) + -7 = -3p + -32 Reorder the terms: -25 + -7 + 30p = -3p + -32 Combine like terms: -25 + -7 = -32 -32 + 30p = -3p + -32 Reorder the terms: -32 + 30p = -32 + -3p Add '32' to each side of the equation. -32 + 32 + 30p = -32 + 32 + -3p Combine like terms: -32 + 32 = 0 0 + 30p = -32 + 32 + -3p 30p = -32 + 32 + -3p Combine like terms: -32 + 32 = 0 30p = 0 + -3p 30p = -3p Solving 30p = -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 30p + 3p = -3p + 3p Combine like terms: 30p + 3p = 33p 33p = -3p + 3p Combine like terms: -3p + 3p = 0 33p = 0 Divide each side by '33'. p = 0 Simplifying p = 0
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