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Simplifying 8p + 5(p + 3) = 3(7p + -1) Reorder the terms: 8p + 5(3 + p) = 3(7p + -1) 8p + (3 * 5 + p * 5) = 3(7p + -1) 8p + (15 + 5p) = 3(7p + -1) Reorder the terms: 15 + 8p + 5p = 3(7p + -1) Combine like terms: 8p + 5p = 13p 15 + 13p = 3(7p + -1) Reorder the terms: 15 + 13p = 3(-1 + 7p) 15 + 13p = (-1 * 3 + 7p * 3) 15 + 13p = (-3 + 21p) Solving 15 + 13p = -3 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. 15 + 13p + -21p = -3 + 21p + -21p Combine like terms: 13p + -21p = -8p 15 + -8p = -3 + 21p + -21p Combine like terms: 21p + -21p = 0 15 + -8p = -3 + 0 15 + -8p = -3 Add '-15' to each side of the equation. 15 + -15 + -8p = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -8p = -3 + -15 -8p = -3 + -15 Combine like terms: -3 + -15 = -18 -8p = -18 Divide each side by '-8'. p = 2.25 Simplifying p = 2.25
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