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Simplifying 7p + -3p + 4 = -2(2p + -1) + 10 Reorder the terms: 4 + 7p + -3p = -2(2p + -1) + 10 Combine like terms: 7p + -3p = 4p 4 + 4p = -2(2p + -1) + 10 Reorder the terms: 4 + 4p = -2(-1 + 2p) + 10 4 + 4p = (-1 * -2 + 2p * -2) + 10 4 + 4p = (2 + -4p) + 10 Reorder the terms: 4 + 4p = 2 + 10 + -4p Combine like terms: 2 + 10 = 12 4 + 4p = 12 + -4p Solving 4 + 4p = 12 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 4 + 4p + 4p = 12 + -4p + 4p Combine like terms: 4p + 4p = 8p 4 + 8p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 4 + 8p = 12 + 0 4 + 8p = 12 Add '-4' to each side of the equation. 4 + -4 + 8p = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 8p = 12 + -4 8p = 12 + -4 Combine like terms: 12 + -4 = 8 8p = 8 Divide each side by '8'. p = 1 Simplifying p = 1
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