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Simplifying 4p + 3(1 + -1p) = p + 7(1 + -1p) 4p + (1 * 3 + -1p * 3) = p + 7(1 + -1p) 4p + (3 + -3p) = p + 7(1 + -1p) Reorder the terms: 3 + 4p + -3p = p + 7(1 + -1p) Combine like terms: 4p + -3p = 1p 3 + 1p = p + 7(1 + -1p) 3 + 1p = p + (1 * 7 + -1p * 7) 3 + 1p = p + (7 + -7p) Reorder the terms: 3 + 1p = 7 + p + -7p Combine like terms: p + -7p = -6p 3 + 1p = 7 + -6p Solving 3 + 1p = 7 + -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. 3 + 1p + 6p = 7 + -6p + 6p Combine like terms: 1p + 6p = 7p 3 + 7p = 7 + -6p + 6p Combine like terms: -6p + 6p = 0 3 + 7p = 7 + 0 3 + 7p = 7 Add '-3' to each side of the equation. 3 + -3 + 7p = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 7p = 7 + -3 7p = 7 + -3 Combine like terms: 7 + -3 = 4 7p = 4 Divide each side by '7'. p = 0.5714285714 Simplifying p = 0.5714285714
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