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Simplifying 4(1 + -7p) + 7 = -1p + 38 (1 * 4 + -7p * 4) + 7 = -1p + 38 (4 + -28p) + 7 = -1p + 38 Reorder the terms: 4 + 7 + -28p = -1p + 38 Combine like terms: 4 + 7 = 11 11 + -28p = -1p + 38 Reorder the terms: 11 + -28p = 38 + -1p Solving 11 + -28p = 38 + -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. 11 + -28p + p = 38 + -1p + p Combine like terms: -28p + p = -27p 11 + -27p = 38 + -1p + p Combine like terms: -1p + p = 0 11 + -27p = 38 + 0 11 + -27p = 38 Add '-11' to each side of the equation. 11 + -11 + -27p = 38 + -11 Combine like terms: 11 + -11 = 0 0 + -27p = 38 + -11 -27p = 38 + -11 Combine like terms: 38 + -11 = 27 -27p = 27 Divide each side by '-27'. p = -1 Simplifying p = -1
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