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Simplifying -8(3p + 4) = p + -7 Reorder the terms: -8(4 + 3p) = p + -7 (4 * -8 + 3p * -8) = p + -7 (-32 + -24p) = p + -7 Reorder the terms: -32 + -24p = -7 + p Solving -32 + -24p = -7 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -32 + -24p + -1p = -7 + p + -1p Combine like terms: -24p + -1p = -25p -32 + -25p = -7 + p + -1p Combine like terms: p + -1p = 0 -32 + -25p = -7 + 0 -32 + -25p = -7 Add '32' to each side of the equation. -32 + 32 + -25p = -7 + 32 Combine like terms: -32 + 32 = 0 0 + -25p = -7 + 32 -25p = -7 + 32 Combine like terms: -7 + 32 = 25 -25p = 25 Divide each side by '-25'. p = -1 Simplifying p = -1
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