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Simplifying 7p + -36 = -4(-6p + -8) Reorder the terms: -36 + 7p = -4(-6p + -8) Reorder the terms: -36 + 7p = -4(-8 + -6p) -36 + 7p = (-8 * -4 + -6p * -4) -36 + 7p = (32 + 24p) Solving -36 + 7p = 32 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -36 + 7p + -24p = 32 + 24p + -24p Combine like terms: 7p + -24p = -17p -36 + -17p = 32 + 24p + -24p Combine like terms: 24p + -24p = 0 -36 + -17p = 32 + 0 -36 + -17p = 32 Add '36' to each side of the equation. -36 + 36 + -17p = 32 + 36 Combine like terms: -36 + 36 = 0 0 + -17p = 32 + 36 -17p = 32 + 36 Combine like terms: 32 + 36 = 68 -17p = 68 Divide each side by '-17'. p = -4 Simplifying p = -4
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