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Simplifying 7(2p + -2) = 30 + -8p Reorder the terms: 7(-2 + 2p) = 30 + -8p (-2 * 7 + 2p * 7) = 30 + -8p (-14 + 14p) = 30 + -8p Solving -14 + 14p = 30 + -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 = 30 + -8p + 8p Combine like terms: 14p + 8p = 22p -14 + 22p = 30 + -8p + 8p Combine like terms: -8p + 8p = 0 -14 + 22p = 30 + 0 -14 + 22p = 30 Add '14' to each side of the equation. -14 + 14 + 22p = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 22p = 30 + 14 22p = 30 + 14 Combine like terms: 30 + 14 = 44 22p = 44 Divide each side by '22'. p = 2 Simplifying p = 2
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