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Simplifying 22 + -8p = -3(5p + 2) Reorder the terms: 22 + -8p = -3(2 + 5p) 22 + -8p = (2 * -3 + 5p * -3) 22 + -8p = (-6 + -15p) Solving 22 + -8p = -6 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 22 + -8p + 15p = -6 + -15p + 15p Combine like terms: -8p + 15p = 7p 22 + 7p = -6 + -15p + 15p Combine like terms: -15p + 15p = 0 22 + 7p = -6 + 0 22 + 7p = -6 Add '-22' to each side of the equation. 22 + -22 + 7p = -6 + -22 Combine like terms: 22 + -22 = 0 0 + 7p = -6 + -22 7p = -6 + -22 Combine like terms: -6 + -22 = -28 7p = -28 Divide each side by '7'. p = -4 Simplifying p = -4
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