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Simplifying -4(3p + 2) + -26 = 2(4p + 3) Reorder the terms: -4(2 + 3p) + -26 = 2(4p + 3) (2 * -4 + 3p * -4) + -26 = 2(4p + 3) (-8 + -12p) + -26 = 2(4p + 3) Reorder the terms: -8 + -26 + -12p = 2(4p + 3) Combine like terms: -8 + -26 = -34 -34 + -12p = 2(4p + 3) Reorder the terms: -34 + -12p = 2(3 + 4p) -34 + -12p = (3 * 2 + 4p * 2) -34 + -12p = (6 + 8p) Solving -34 + -12p = 6 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -34 + -12p + -8p = 6 + 8p + -8p Combine like terms: -12p + -8p = -20p -34 + -20p = 6 + 8p + -8p Combine like terms: 8p + -8p = 0 -34 + -20p = 6 + 0 -34 + -20p = 6 Add '34' to each side of the equation. -34 + 34 + -20p = 6 + 34 Combine like terms: -34 + 34 = 0 0 + -20p = 6 + 34 -20p = 6 + 34 Combine like terms: 6 + 34 = 40 -20p = 40 Divide each side by '-20'. p = -2 Simplifying p = -2
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