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Simplifying 2(3p + 1) = -5(-1 + -4p) Reorder the terms: 2(1 + 3p) = -5(-1 + -4p) (1 * 2 + 3p * 2) = -5(-1 + -4p) (2 + 6p) = -5(-1 + -4p) 2 + 6p = (-1 * -5 + -4p * -5) 2 + 6p = (5 + 20p) Solving 2 + 6p = 5 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 2 + 6p + -20p = 5 + 20p + -20p Combine like terms: 6p + -20p = -14p 2 + -14p = 5 + 20p + -20p Combine like terms: 20p + -20p = 0 2 + -14p = 5 + 0 2 + -14p = 5 Add '-2' to each side of the equation. 2 + -2 + -14p = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -14p = 5 + -2 -14p = 5 + -2 Combine like terms: 5 + -2 = 3 -14p = 3 Divide each side by '-14'. p = -0.2142857143 Simplifying p = -0.2142857143
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