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Simplifying -39 + 4p = -8(-4p + 8) + -3 Reorder the terms: -39 + 4p = -8(8 + -4p) + -3 -39 + 4p = (8 * -8 + -4p * -8) + -3 -39 + 4p = (-64 + 32p) + -3 Reorder the terms: -39 + 4p = -64 + -3 + 32p Combine like terms: -64 + -3 = -67 -39 + 4p = -67 + 32p Solving -39 + 4p = -67 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. -39 + 4p + -32p = -67 + 32p + -32p Combine like terms: 4p + -32p = -28p -39 + -28p = -67 + 32p + -32p Combine like terms: 32p + -32p = 0 -39 + -28p = -67 + 0 -39 + -28p = -67 Add '39' to each side of the equation. -39 + 39 + -28p = -67 + 39 Combine like terms: -39 + 39 = 0 0 + -28p = -67 + 39 -28p = -67 + 39 Combine like terms: -67 + 39 = -28 -28p = -28 Divide each side by '-28'. p = 1 Simplifying p = 1
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