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Simplifying p + 7 = 3(1 + -2p) Reorder the terms: 7 + p = 3(1 + -2p) 7 + p = (1 * 3 + -2p * 3) 7 + p = (3 + -6p) Solving 7 + p = 3 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 7 + p + 6p = 3 + -6p + 6p Combine like terms: p + 6p = 7p 7 + 7p = 3 + -6p + 6p Combine like terms: -6p + 6p = 0 7 + 7p = 3 + 0 7 + 7p = 3 Add '-7' to each side of the equation. 7 + -7 + 7p = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 7p = 3 + -7 7p = 3 + -7 Combine like terms: 3 + -7 = -4 7p = -4 Divide each side by '7'. p = -0.5714285714 Simplifying p = -0.5714285714
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