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Simplifying p + -4(3p + 2) = -4p + 10 Reorder the terms: p + -4(2 + 3p) = -4p + 10 p + (2 * -4 + 3p * -4) = -4p + 10 p + (-8 + -12p) = -4p + 10 Reorder the terms: -8 + p + -12p = -4p + 10 Combine like terms: p + -12p = -11p -8 + -11p = -4p + 10 Reorder the terms: -8 + -11p = 10 + -4p Solving -8 + -11p = 10 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -8 + -11p + 4p = 10 + -4p + 4p Combine like terms: -11p + 4p = -7p -8 + -7p = 10 + -4p + 4p Combine like terms: -4p + 4p = 0 -8 + -7p = 10 + 0 -8 + -7p = 10 Add '8' to each side of the equation. -8 + 8 + -7p = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -7p = 10 + 8 -7p = 10 + 8 Combine like terms: 10 + 8 = 18 -7p = 18 Divide each side by '-7'. p = -2.571428571 Simplifying p = -2.571428571
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