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Simplifying 5(p + 7) = 23 + 2(4p + 3) Reorder the terms: 5(7 + p) = 23 + 2(4p + 3) (7 * 5 + p * 5) = 23 + 2(4p + 3) (35 + 5p) = 23 + 2(4p + 3) Reorder the terms: 35 + 5p = 23 + 2(3 + 4p) 35 + 5p = 23 + (3 * 2 + 4p * 2) 35 + 5p = 23 + (6 + 8p) Combine like terms: 23 + 6 = 29 35 + 5p = 29 + 8p Solving 35 + 5p = 29 + 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. 35 + 5p + -8p = 29 + 8p + -8p Combine like terms: 5p + -8p = -3p 35 + -3p = 29 + 8p + -8p Combine like terms: 8p + -8p = 0 35 + -3p = 29 + 0 35 + -3p = 29 Add '-35' to each side of the equation. 35 + -35 + -3p = 29 + -35 Combine like terms: 35 + -35 = 0 0 + -3p = 29 + -35 -3p = 29 + -35 Combine like terms: 29 + -35 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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