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Simplifying 7(p + 4) = 3p + 8 Reorder the terms: 7(4 + p) = 3p + 8 (4 * 7 + p * 7) = 3p + 8 (28 + 7p) = 3p + 8 Reorder the terms: 28 + 7p = 8 + 3p Solving 28 + 7p = 8 + 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. 28 + 7p + -3p = 8 + 3p + -3p Combine like terms: 7p + -3p = 4p 28 + 4p = 8 + 3p + -3p Combine like terms: 3p + -3p = 0 28 + 4p = 8 + 0 28 + 4p = 8 Add '-28' to each side of the equation. 28 + -28 + 4p = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 4p = 8 + -28 4p = 8 + -28 Combine like terms: 8 + -28 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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