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Simplifying 5(p + 2) = 7 + -3p Reorder the terms: 5(2 + p) = 7 + -3p (2 * 5 + p * 5) = 7 + -3p (10 + 5p) = 7 + -3p Solving 10 + 5p = 7 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 10 + 5p + 3p = 7 + -3p + 3p Combine like terms: 5p + 3p = 8p 10 + 8p = 7 + -3p + 3p Combine like terms: -3p + 3p = 0 10 + 8p = 7 + 0 10 + 8p = 7 Add '-10' to each side of the equation. 10 + -10 + 8p = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 8p = 7 + -10 8p = 7 + -10 Combine like terms: 7 + -10 = -3 8p = -3 Divide each side by '8'. p = -0.375 Simplifying p = -0.375
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