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Simplifying 12 = 4(p + -5) + 8 Reorder the terms: 12 = 4(-5 + p) + 8 12 = (-5 * 4 + p * 4) + 8 12 = (-20 + 4p) + 8 Reorder the terms: 12 = -20 + 8 + 4p Combine like terms: -20 + 8 = -12 12 = -12 + 4p Solving 12 = -12 + 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. 12 + -4p = -12 + 4p + -4p Combine like terms: 4p + -4p = 0 12 + -4p = -12 + 0 12 + -4p = -12 Add '-12' to each side of the equation. 12 + -12 + -4p = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4p = -12 + -12 -4p = -12 + -12 Combine like terms: -12 + -12 = -24 -4p = -24 Divide each side by '-4'. p = 6 Simplifying p = 6
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