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Simplifying 2(3p + 1) = -5(-1 + -4p) + -5p Reorder the terms: 2(1 + 3p) = -5(-1 + -4p) + -5p (1 * 2 + 3p * 2) = -5(-1 + -4p) + -5p (2 + 6p) = -5(-1 + -4p) + -5p 2 + 6p = (-1 * -5 + -4p * -5) + -5p 2 + 6p = (5 + 20p) + -5p Combine like terms: 20p + -5p = 15p 2 + 6p = 5 + 15p Solving 2 + 6p = 5 + 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. 2 + 6p + -15p = 5 + 15p + -15p Combine like terms: 6p + -15p = -9p 2 + -9p = 5 + 15p + -15p Combine like terms: 15p + -15p = 0 2 + -9p = 5 + 0 2 + -9p = 5 Add '-2' to each side of the equation. 2 + -2 + -9p = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -9p = 5 + -2 -9p = 5 + -2 Combine like terms: 5 + -2 = 3 -9p = 3 Divide each side by '-9'. p = -0.3333333333 Simplifying p = -0.3333333333
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