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Simplifying -4p + 33 = 2 + -7(9p + 4) Reorder the terms: 33 + -4p = 2 + -7(9p + 4) Reorder the terms: 33 + -4p = 2 + -7(4 + 9p) 33 + -4p = 2 + (4 * -7 + 9p * -7) 33 + -4p = 2 + (-28 + -63p) Combine like terms: 2 + -28 = -26 33 + -4p = -26 + -63p Solving 33 + -4p = -26 + -63p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '63p' to each side of the equation. 33 + -4p + 63p = -26 + -63p + 63p Combine like terms: -4p + 63p = 59p 33 + 59p = -26 + -63p + 63p Combine like terms: -63p + 63p = 0 33 + 59p = -26 + 0 33 + 59p = -26 Add '-33' to each side of the equation. 33 + -33 + 59p = -26 + -33 Combine like terms: 33 + -33 = 0 0 + 59p = -26 + -33 59p = -26 + -33 Combine like terms: -26 + -33 = -59 59p = -59 Divide each side by '59'. p = -1 Simplifying p = -1
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