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Simplifying 4(5p + 6) = 2(3p + -8) Reorder the terms: 4(6 + 5p) = 2(3p + -8) (6 * 4 + 5p * 4) = 2(3p + -8) (24 + 20p) = 2(3p + -8) Reorder the terms: 24 + 20p = 2(-8 + 3p) 24 + 20p = (-8 * 2 + 3p * 2) 24 + 20p = (-16 + 6p) Solving 24 + 20p = -16 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 24 + 20p + -6p = -16 + 6p + -6p Combine like terms: 20p + -6p = 14p 24 + 14p = -16 + 6p + -6p Combine like terms: 6p + -6p = 0 24 + 14p = -16 + 0 24 + 14p = -16 Add '-24' to each side of the equation. 24 + -24 + 14p = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 14p = -16 + -24 14p = -16 + -24 Combine like terms: -16 + -24 = -40 14p = -40 Divide each side by '14'. p = -2.857142857 Simplifying p = -2.857142857
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