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Simplifying 6[1 + -6p] + 6p = -32 + 8p [1 * 6 + -6p * 6] + 6p = -32 + 8p [6 + -36p] + 6p = -32 + 8p Combine like terms: -36p + 6p = -30p 6 + -30p = -32 + 8p Solving 6 + -30p = -32 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 6 + -30p + -8p = -32 + 8p + -8p Combine like terms: -30p + -8p = -38p 6 + -38p = -32 + 8p + -8p Combine like terms: 8p + -8p = 0 6 + -38p = -32 + 0 6 + -38p = -32 Add '-6' to each side of the equation. 6 + -6 + -38p = -32 + -6 Combine like terms: 6 + -6 = 0 0 + -38p = -32 + -6 -38p = -32 + -6 Combine like terms: -32 + -6 = -38 -38p = -38 Divide each side by '-38'. p = 1 Simplifying p = 1
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