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Simplifying 8p + 8(3p + -3) = 4p + 4 Reorder the terms: 8p + 8(-3 + 3p) = 4p + 4 8p + (-3 * 8 + 3p * 8) = 4p + 4 8p + (-24 + 24p) = 4p + 4 Reorder the terms: -24 + 8p + 24p = 4p + 4 Combine like terms: 8p + 24p = 32p -24 + 32p = 4p + 4 Reorder the terms: -24 + 32p = 4 + 4p Solving -24 + 32p = 4 + 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. -24 + 32p + -4p = 4 + 4p + -4p Combine like terms: 32p + -4p = 28p -24 + 28p = 4 + 4p + -4p Combine like terms: 4p + -4p = 0 -24 + 28p = 4 + 0 -24 + 28p = 4 Add '24' to each side of the equation. -24 + 24 + 28p = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 28p = 4 + 24 28p = 4 + 24 Combine like terms: 4 + 24 = 28 28p = 28 Divide each side by '28'. p = 1 Simplifying p = 1
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