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Simplifying 8(p + 3) = 4(4p + 7) Reorder the terms: 8(3 + p) = 4(4p + 7) (3 * 8 + p * 8) = 4(4p + 7) (24 + 8p) = 4(4p + 7) Reorder the terms: 24 + 8p = 4(7 + 4p) 24 + 8p = (7 * 4 + 4p * 4) 24 + 8p = (28 + 16p) Solving 24 + 8p = 28 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 24 + 8p + -16p = 28 + 16p + -16p Combine like terms: 8p + -16p = -8p 24 + -8p = 28 + 16p + -16p Combine like terms: 16p + -16p = 0 24 + -8p = 28 + 0 24 + -8p = 28 Add '-24' to each side of the equation. 24 + -24 + -8p = 28 + -24 Combine like terms: 24 + -24 = 0 0 + -8p = 28 + -24 -8p = 28 + -24 Combine like terms: 28 + -24 = 4 -8p = 4 Divide each side by '-8'. p = -0.5 Simplifying p = -0.5
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