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Simplifying 8p + -4(5p + -3) = 6(2p + 7) Reorder the terms: 8p + -4(-3 + 5p) = 6(2p + 7) 8p + (-3 * -4 + 5p * -4) = 6(2p + 7) 8p + (12 + -20p) = 6(2p + 7) Reorder the terms: 12 + 8p + -20p = 6(2p + 7) Combine like terms: 8p + -20p = -12p 12 + -12p = 6(2p + 7) Reorder the terms: 12 + -12p = 6(7 + 2p) 12 + -12p = (7 * 6 + 2p * 6) 12 + -12p = (42 + 12p) Solving 12 + -12p = 42 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 12 + -12p + -12p = 42 + 12p + -12p Combine like terms: -12p + -12p = -24p 12 + -24p = 42 + 12p + -12p Combine like terms: 12p + -12p = 0 12 + -24p = 42 + 0 12 + -24p = 42 Add '-12' to each side of the equation. 12 + -12 + -24p = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -24p = 42 + -12 -24p = 42 + -12 Combine like terms: 42 + -12 = 30 -24p = 30 Divide each side by '-24'. p = -1.25 Simplifying p = -1.25
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