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Simplifying -8(4p + -3) = -11 + 3p Reorder the terms: -8(-3 + 4p) = -11 + 3p (-3 * -8 + 4p * -8) = -11 + 3p (24 + -32p) = -11 + 3p Solving 24 + -32p = -11 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 24 + -32p + -3p = -11 + 3p + -3p Combine like terms: -32p + -3p = -35p 24 + -35p = -11 + 3p + -3p Combine like terms: 3p + -3p = 0 24 + -35p = -11 + 0 24 + -35p = -11 Add '-24' to each side of the equation. 24 + -24 + -35p = -11 + -24 Combine like terms: 24 + -24 = 0 0 + -35p = -11 + -24 -35p = -11 + -24 Combine like terms: -11 + -24 = -35 -35p = -35 Divide each side by '-35'. p = 1 Simplifying p = 1
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