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Simplifying -1p + -2 = 9(2 + -3p) + 6 Reorder the terms: -2 + -1p = 9(2 + -3p) + 6 -2 + -1p = (2 * 9 + -3p * 9) + 6 -2 + -1p = (18 + -27p) + 6 Reorder the terms: -2 + -1p = 18 + 6 + -27p Combine like terms: 18 + 6 = 24 -2 + -1p = 24 + -27p Solving -2 + -1p = 24 + -27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '27p' to each side of the equation. -2 + -1p + 27p = 24 + -27p + 27p Combine like terms: -1p + 27p = 26p -2 + 26p = 24 + -27p + 27p Combine like terms: -27p + 27p = 0 -2 + 26p = 24 + 0 -2 + 26p = 24 Add '2' to each side of the equation. -2 + 2 + 26p = 24 + 2 Combine like terms: -2 + 2 = 0 0 + 26p = 24 + 2 26p = 24 + 2 Combine like terms: 24 + 2 = 26 26p = 26 Divide each side by '26'. p = 1 Simplifying p = 1
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