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Simplifying 7p + 27 = 3p + -1(-6 + 3p) Reorder the terms: 27 + 7p = 3p + -1(-6 + 3p) 27 + 7p = 3p + (-6 * -1 + 3p * -1) 27 + 7p = 3p + (6 + -3p) Reorder the terms: 27 + 7p = 6 + 3p + -3p Combine like terms: 3p + -3p = 0 27 + 7p = 6 + 0 27 + 7p = 6 Solving 27 + 7p = 6 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 7p = 6 + -27 Combine like terms: 27 + -27 = 0 0 + 7p = 6 + -27 7p = 6 + -27 Combine like terms: 6 + -27 = -21 7p = -21 Divide each side by '7'. p = -3 Simplifying p = -3
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