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Simplifying 4(p + 5) + -1(p + 3) = 23 Reorder the terms: 4(5 + p) + -1(p + 3) = 23 (5 * 4 + p * 4) + -1(p + 3) = 23 (20 + 4p) + -1(p + 3) = 23 Reorder the terms: 20 + 4p + -1(3 + p) = 23 20 + 4p + (3 * -1 + p * -1) = 23 20 + 4p + (-3 + -1p) = 23 Reorder the terms: 20 + -3 + 4p + -1p = 23 Combine like terms: 20 + -3 = 17 17 + 4p + -1p = 23 Combine like terms: 4p + -1p = 3p 17 + 3p = 23 Solving 17 + 3p = 23 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3p = 23 + -17 Combine like terms: 17 + -17 = 0 0 + 3p = 23 + -17 3p = 23 + -17 Combine like terms: 23 + -17 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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