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Simplifying -27 + -7p = 6(-5p + 7) Reorder the terms: -27 + -7p = 6(7 + -5p) -27 + -7p = (7 * 6 + -5p * 6) -27 + -7p = (42 + -30p) Solving -27 + -7p = 42 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. -27 + -7p + 30p = 42 + -30p + 30p Combine like terms: -7p + 30p = 23p -27 + 23p = 42 + -30p + 30p Combine like terms: -30p + 30p = 0 -27 + 23p = 42 + 0 -27 + 23p = 42 Add '27' to each side of the equation. -27 + 27 + 23p = 42 + 27 Combine like terms: -27 + 27 = 0 0 + 23p = 42 + 27 23p = 42 + 27 Combine like terms: 42 + 27 = 69 23p = 69 Divide each side by '23'. p = 3 Simplifying p = 3
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