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Simplifying 2p + 7 = 3 + -1(5p + 1) Reorder the terms: 7 + 2p = 3 + -1(5p + 1) Reorder the terms: 7 + 2p = 3 + -1(1 + 5p) 7 + 2p = 3 + (1 * -1 + 5p * -1) 7 + 2p = 3 + (-1 + -5p) Combine like terms: 3 + -1 = 2 7 + 2p = 2 + -5p Solving 7 + 2p = 2 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 7 + 2p + 5p = 2 + -5p + 5p Combine like terms: 2p + 5p = 7p 7 + 7p = 2 + -5p + 5p Combine like terms: -5p + 5p = 0 7 + 7p = 2 + 0 7 + 7p = 2 Add '-7' to each side of the equation. 7 + -7 + 7p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 7p = 2 + -7 7p = 2 + -7 Combine like terms: 2 + -7 = -5 7p = -5 Divide each side by '7'. p = -0.7142857143 Simplifying p = -0.7142857143
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