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Simplifying 6p + -7(2p + -3) = 3(4p + -3) Reorder the terms: 6p + -7(-3 + 2p) = 3(4p + -3) 6p + (-3 * -7 + 2p * -7) = 3(4p + -3) 6p + (21 + -14p) = 3(4p + -3) Reorder the terms: 21 + 6p + -14p = 3(4p + -3) Combine like terms: 6p + -14p = -8p 21 + -8p = 3(4p + -3) Reorder the terms: 21 + -8p = 3(-3 + 4p) 21 + -8p = (-3 * 3 + 4p * 3) 21 + -8p = (-9 + 12p) Solving 21 + -8p = -9 + 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. 21 + -8p + -12p = -9 + 12p + -12p Combine like terms: -8p + -12p = -20p 21 + -20p = -9 + 12p + -12p Combine like terms: 12p + -12p = 0 21 + -20p = -9 + 0 21 + -20p = -9 Add '-21' to each side of the equation. 21 + -21 + -20p = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -20p = -9 + -21 -20p = -9 + -21 Combine like terms: -9 + -21 = -30 -20p = -30 Divide each side by '-20'. p = 1.5 Simplifying p = 1.5
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