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Simplifying -4p + -3(4 + -4p) = 3(p + -2) + -26 -4p + (4 * -3 + -4p * -3) = 3(p + -2) + -26 -4p + (-12 + 12p) = 3(p + -2) + -26 Reorder the terms: -12 + -4p + 12p = 3(p + -2) + -26 Combine like terms: -4p + 12p = 8p -12 + 8p = 3(p + -2) + -26 Reorder the terms: -12 + 8p = 3(-2 + p) + -26 -12 + 8p = (-2 * 3 + p * 3) + -26 -12 + 8p = (-6 + 3p) + -26 Reorder the terms: -12 + 8p = -6 + -26 + 3p Combine like terms: -6 + -26 = -32 -12 + 8p = -32 + 3p Solving -12 + 8p = -32 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -12 + 8p + -3p = -32 + 3p + -3p Combine like terms: 8p + -3p = 5p -12 + 5p = -32 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 5p = -32 + 0 -12 + 5p = -32 Add '12' to each side of the equation. -12 + 12 + 5p = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -32 + 12 5p = -32 + 12 Combine like terms: -32 + 12 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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