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Simplifying -7p + 7(3p + -2) = 22 + 8p Reorder the terms: -7p + 7(-2 + 3p) = 22 + 8p -7p + (-2 * 7 + 3p * 7) = 22 + 8p -7p + (-14 + 21p) = 22 + 8p Reorder the terms: -14 + -7p + 21p = 22 + 8p Combine like terms: -7p + 21p = 14p -14 + 14p = 22 + 8p Solving -14 + 14p = 22 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -14 + 14p + -8p = 22 + 8p + -8p Combine like terms: 14p + -8p = 6p -14 + 6p = 22 + 8p + -8p Combine like terms: 8p + -8p = 0 -14 + 6p = 22 + 0 -14 + 6p = 22 Add '14' to each side of the equation. -14 + 14 + 6p = 22 + 14 Combine like terms: -14 + 14 = 0 0 + 6p = 22 + 14 6p = 22 + 14 Combine like terms: 22 + 14 = 36 6p = 36 Divide each side by '6'. p = 6 Simplifying p = 6
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