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Simplifying 3(5 + -8p) = -19 + -7p (5 * 3 + -8p * 3) = -19 + -7p (15 + -24p) = -19 + -7p Solving 15 + -24p = -19 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 15 + -24p + 7p = -19 + -7p + 7p Combine like terms: -24p + 7p = -17p 15 + -17p = -19 + -7p + 7p Combine like terms: -7p + 7p = 0 15 + -17p = -19 + 0 15 + -17p = -19 Add '-15' to each side of the equation. 15 + -15 + -17p = -19 + -15 Combine like terms: 15 + -15 = 0 0 + -17p = -19 + -15 -17p = -19 + -15 Combine like terms: -19 + -15 = -34 -17p = -34 Divide each side by '-17'. p = 2 Simplifying p = 2
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