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Simplifying 4(5p + 4) + -39 = 5(3p + 3) Reorder the terms: 4(4 + 5p) + -39 = 5(3p + 3) (4 * 4 + 5p * 4) + -39 = 5(3p + 3) (16 + 20p) + -39 = 5(3p + 3) Reorder the terms: 16 + -39 + 20p = 5(3p + 3) Combine like terms: 16 + -39 = -23 -23 + 20p = 5(3p + 3) Reorder the terms: -23 + 20p = 5(3 + 3p) -23 + 20p = (3 * 5 + 3p * 5) -23 + 20p = (15 + 15p) Solving -23 + 20p = 15 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -23 + 20p + -15p = 15 + 15p + -15p Combine like terms: 20p + -15p = 5p -23 + 5p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -23 + 5p = 15 + 0 -23 + 5p = 15 Add '23' to each side of the equation. -23 + 23 + 5p = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 5p = 15 + 23 5p = 15 + 23 Combine like terms: 15 + 23 = 38 5p = 38 Divide each side by '5'. p = 7.6 Simplifying p = 7.6
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