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Simplifying 4(8p + 4) = 5(8 + 7p) Reorder the terms: 4(4 + 8p) = 5(8 + 7p) (4 * 4 + 8p * 4) = 5(8 + 7p) (16 + 32p) = 5(8 + 7p) 16 + 32p = (8 * 5 + 7p * 5) 16 + 32p = (40 + 35p) Solving 16 + 32p = 40 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 16 + 32p + -35p = 40 + 35p + -35p Combine like terms: 32p + -35p = -3p 16 + -3p = 40 + 35p + -35p Combine like terms: 35p + -35p = 0 16 + -3p = 40 + 0 16 + -3p = 40 Add '-16' to each side of the equation. 16 + -16 + -3p = 40 + -16 Combine like terms: 16 + -16 = 0 0 + -3p = 40 + -16 -3p = 40 + -16 Combine like terms: 40 + -16 = 24 -3p = 24 Divide each side by '-3'. p = -8 Simplifying p = -8
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