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Simplifying -4(2 + -7p) + -3p = -40 + -7p (2 * -4 + -7p * -4) + -3p = -40 + -7p (-8 + 28p) + -3p = -40 + -7p Combine like terms: 28p + -3p = 25p -8 + 25p = -40 + -7p Solving -8 + 25p = -40 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -8 + 25p + 7p = -40 + -7p + 7p Combine like terms: 25p + 7p = 32p -8 + 32p = -40 + -7p + 7p Combine like terms: -7p + 7p = 0 -8 + 32p = -40 + 0 -8 + 32p = -40 Add '8' to each side of the equation. -8 + 8 + 32p = -40 + 8 Combine like terms: -8 + 8 = 0 0 + 32p = -40 + 8 32p = -40 + 8 Combine like terms: -40 + 8 = -32 32p = -32 Divide each side by '32'. p = -1 Simplifying p = -1
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