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Simplifying -6(6p + 4) + -2p = -32p + 15 Reorder the terms: -6(4 + 6p) + -2p = -32p + 15 (4 * -6 + 6p * -6) + -2p = -32p + 15 (-24 + -36p) + -2p = -32p + 15 Combine like terms: -36p + -2p = -38p -24 + -38p = -32p + 15 Reorder the terms: -24 + -38p = 15 + -32p Solving -24 + -38p = 15 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. -24 + -38p + 32p = 15 + -32p + 32p Combine like terms: -38p + 32p = -6p -24 + -6p = 15 + -32p + 32p Combine like terms: -32p + 32p = 0 -24 + -6p = 15 + 0 -24 + -6p = 15 Add '24' to each side of the equation. -24 + 24 + -6p = 15 + 24 Combine like terms: -24 + 24 = 0 0 + -6p = 15 + 24 -6p = 15 + 24 Combine like terms: 15 + 24 = 39 -6p = 39 Divide each side by '-6'. p = -6.5 Simplifying p = -6.5
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