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Simplifying 5p + 27 = 3(4 + -1p) Reorder the terms: 27 + 5p = 3(4 + -1p) 27 + 5p = (4 * 3 + -1p * 3) 27 + 5p = (12 + -3p) Solving 27 + 5p = 12 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 27 + 5p + 3p = 12 + -3p + 3p Combine like terms: 5p + 3p = 8p 27 + 8p = 12 + -3p + 3p Combine like terms: -3p + 3p = 0 27 + 8p = 12 + 0 27 + 8p = 12 Add '-27' to each side of the equation. 27 + -27 + 8p = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 8p = 12 + -27 8p = 12 + -27 Combine like terms: 12 + -27 = -15 8p = -15 Divide each side by '8'. p = -1.875 Simplifying p = -1.875
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