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Simplifying 22 + 8p = 7(3p + 5) Reorder the terms: 22 + 8p = 7(5 + 3p) 22 + 8p = (5 * 7 + 3p * 7) 22 + 8p = (35 + 21p) Solving 22 + 8p = 35 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. 22 + 8p + -21p = 35 + 21p + -21p Combine like terms: 8p + -21p = -13p 22 + -13p = 35 + 21p + -21p Combine like terms: 21p + -21p = 0 22 + -13p = 35 + 0 22 + -13p = 35 Add '-22' to each side of the equation. 22 + -22 + -13p = 35 + -22 Combine like terms: 22 + -22 = 0 0 + -13p = 35 + -22 -13p = 35 + -22 Combine like terms: 35 + -22 = 13 -13p = 13 Divide each side by '-13'. p = -1 Simplifying p = -1
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