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Simplifying -27 + 6p = 3(7p + 6) Reorder the terms: -27 + 6p = 3(6 + 7p) -27 + 6p = (6 * 3 + 7p * 3) -27 + 6p = (18 + 21p) Solving -27 + 6p = 18 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. -27 + 6p + -21p = 18 + 21p + -21p Combine like terms: 6p + -21p = -15p -27 + -15p = 18 + 21p + -21p Combine like terms: 21p + -21p = 0 -27 + -15p = 18 + 0 -27 + -15p = 18 Add '27' to each side of the equation. -27 + 27 + -15p = 18 + 27 Combine like terms: -27 + 27 = 0 0 + -15p = 18 + 27 -15p = 18 + 27 Combine like terms: 18 + 27 = 45 -15p = 45 Divide each side by '-15'. p = -3 Simplifying p = -3
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