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Simplifying -7(3p + 3) + -26 = 5(4p + 7) Reorder the terms: -7(3 + 3p) + -26 = 5(4p + 7) (3 * -7 + 3p * -7) + -26 = 5(4p + 7) (-21 + -21p) + -26 = 5(4p + 7) Reorder the terms: -21 + -26 + -21p = 5(4p + 7) Combine like terms: -21 + -26 = -47 -47 + -21p = 5(4p + 7) Reorder the terms: -47 + -21p = 5(7 + 4p) -47 + -21p = (7 * 5 + 4p * 5) -47 + -21p = (35 + 20p) Solving -47 + -21p = 35 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. -47 + -21p + -20p = 35 + 20p + -20p Combine like terms: -21p + -20p = -41p -47 + -41p = 35 + 20p + -20p Combine like terms: 20p + -20p = 0 -47 + -41p = 35 + 0 -47 + -41p = 35 Add '47' to each side of the equation. -47 + 47 + -41p = 35 + 47 Combine like terms: -47 + 47 = 0 0 + -41p = 35 + 47 -41p = 35 + 47 Combine like terms: 35 + 47 = 82 -41p = 82 Divide each side by '-41'. p = -2 Simplifying p = -2
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