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Simplifying -32 + -8p = -2(3p + -8) + -8p Reorder the terms: -32 + -8p = -2(-8 + 3p) + -8p -32 + -8p = (-8 * -2 + 3p * -2) + -8p -32 + -8p = (16 + -6p) + -8p Combine like terms: -6p + -8p = -14p -32 + -8p = 16 + -14p Solving -32 + -8p = 16 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. -32 + -8p + 14p = 16 + -14p + 14p Combine like terms: -8p + 14p = 6p -32 + 6p = 16 + -14p + 14p Combine like terms: -14p + 14p = 0 -32 + 6p = 16 + 0 -32 + 6p = 16 Add '32' to each side of the equation. -32 + 32 + 6p = 16 + 32 Combine like terms: -32 + 32 = 0 0 + 6p = 16 + 32 6p = 16 + 32 Combine like terms: 16 + 32 = 48 6p = 48 Divide each side by '6'. p = 8 Simplifying p = 8
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