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Simplifying -30 + 7p = 2(2p + 1) + -1p Reorder the terms: -30 + 7p = 2(1 + 2p) + -1p -30 + 7p = (1 * 2 + 2p * 2) + -1p -30 + 7p = (2 + 4p) + -1p Combine like terms: 4p + -1p = 3p -30 + 7p = 2 + 3p Solving -30 + 7p = 2 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -30 + 7p + -3p = 2 + 3p + -3p Combine like terms: 7p + -3p = 4p -30 + 4p = 2 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 4p = 2 + 0 -30 + 4p = 2 Add '30' to each side of the equation. -30 + 30 + 4p = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 4p = 2 + 30 4p = 2 + 30 Combine like terms: 2 + 30 = 32 4p = 32 Divide each side by '4'. p = 8 Simplifying p = 8
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