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Simplifying -1p + -2w = 9(2 + -3p) + 6 -1p + -2w = (2 * 9 + -3p * 9) + 6 -1p + -2w = (18 + -27p) + 6 Reorder the terms: -1p + -2w = 18 + 6 + -27p Combine like terms: 18 + 6 = 24 -1p + -2w = 24 + -27p Solving -1p + -2w = 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. -1p + 27p + -2w = 24 + -27p + 27p Combine like terms: -1p + 27p = 26p 26p + -2w = 24 + -27p + 27p Combine like terms: -27p + 27p = 0 26p + -2w = 24 + 0 26p + -2w = 24 Add '2w' to each side of the equation. 26p + -2w + 2w = 24 + 2w Combine like terms: -2w + 2w = 0 26p + 0 = 24 + 2w 26p = 24 + 2w Divide each side by '26'. p = 0.9230769231 + 0.07692307692w Simplifying p = 0.9230769231 + 0.07692307692w
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