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Simplifying 8(-7p + -8) = 40 + -4p Reorder the terms: 8(-8 + -7p) = 40 + -4p (-8 * 8 + -7p * 8) = 40 + -4p (-64 + -56p) = 40 + -4p Solving -64 + -56p = 40 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -64 + -56p + 4p = 40 + -4p + 4p Combine like terms: -56p + 4p = -52p -64 + -52p = 40 + -4p + 4p Combine like terms: -4p + 4p = 0 -64 + -52p = 40 + 0 -64 + -52p = 40 Add '64' to each side of the equation. -64 + 64 + -52p = 40 + 64 Combine like terms: -64 + 64 = 0 0 + -52p = 40 + 64 -52p = 40 + 64 Combine like terms: 40 + 64 = 104 -52p = 104 Divide each side by '-52'. p = -2 Simplifying p = -2
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