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Simplifying 8p + -4(7 + -7p) = 8(p + 7) 8p + (7 * -4 + -7p * -4) = 8(p + 7) 8p + (-28 + 28p) = 8(p + 7) Reorder the terms: -28 + 8p + 28p = 8(p + 7) Combine like terms: 8p + 28p = 36p -28 + 36p = 8(p + 7) Reorder the terms: -28 + 36p = 8(7 + p) -28 + 36p = (7 * 8 + p * 8) -28 + 36p = (56 + 8p) Solving -28 + 36p = 56 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -28 + 36p + -8p = 56 + 8p + -8p Combine like terms: 36p + -8p = 28p -28 + 28p = 56 + 8p + -8p Combine like terms: 8p + -8p = 0 -28 + 28p = 56 + 0 -28 + 28p = 56 Add '28' to each side of the equation. -28 + 28 + 28p = 56 + 28 Combine like terms: -28 + 28 = 0 0 + 28p = 56 + 28 28p = 56 + 28 Combine like terms: 56 + 28 = 84 28p = 84 Divide each side by '28'. p = 3 Simplifying p = 3
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