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Simplifying 4(1 + -7p) + 4 = 4 + -1p (1 * 4 + -7p * 4) + 4 = 4 + -1p (4 + -28p) + 4 = 4 + -1p Reorder the terms: 4 + 4 + -28p = 4 + -1p Combine like terms: 4 + 4 = 8 8 + -28p = 4 + -1p Solving 8 + -28p = 4 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 8 + -28p + p = 4 + -1p + p Combine like terms: -28p + p = -27p 8 + -27p = 4 + -1p + p Combine like terms: -1p + p = 0 8 + -27p = 4 + 0 8 + -27p = 4 Add '-8' to each side of the equation. 8 + -8 + -27p = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -27p = 4 + -8 -27p = 4 + -8 Combine like terms: 4 + -8 = -4 -27p = -4 Divide each side by '-27'. p = 0.1481481481 Simplifying p = 0.1481481481
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