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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 = -5 -5 + 21p = 5(4p + 7) Reorder the terms: -5 + 21p = 5(7 + 4p) -5 + 21p = (7 * 5 + 4p * 5) -5 + 21p = (35 + 20p) Solving -5 + 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. -5 + 21p + -20p = 35 + 20p + -20p Combine like terms: 21p + -20p = 1p -5 + 1p = 35 + 20p + -20p Combine like terms: 20p + -20p = 0 -5 + 1p = 35 + 0 -5 + 1p = 35 Add '5' to each side of the equation. -5 + 5 + 1p = 35 + 5 Combine like terms: -5 + 5 = 0 0 + 1p = 35 + 5 1p = 35 + 5 Combine like terms: 35 + 5 = 40 1p = 40 Divide each side by '1'. p = 40 Simplifying p = 40
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