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Simplifying p + 32 = -4 + 6(-5p + 6) Reorder the terms: 32 + p = -4 + 6(-5p + 6) Reorder the terms: 32 + p = -4 + 6(6 + -5p) 32 + p = -4 + (6 * 6 + -5p * 6) 32 + p = -4 + (36 + -30p) Combine like terms: -4 + 36 = 32 32 + p = 32 + -30p Add '-32' to each side of the equation. 32 + -32 + p = 32 + -32 + -30p Combine like terms: 32 + -32 = 0 0 + p = 32 + -32 + -30p p = 32 + -32 + -30p Combine like terms: 32 + -32 = 0 p = 0 + -30p p = -30p Solving p = -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. p + 30p = -30p + 30p Combine like terms: p + 30p = 31p 31p = -30p + 30p Combine like terms: -30p + 30p = 0 31p = 0 Divide each side by '31'. p = 0 Simplifying p = 0
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