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Simplifying 2p + -9 = 5p + 12 + -5w Reorder the terms: -9 + 2p = 5p + 12 + -5w Reorder the terms: -9 + 2p = 12 + 5p + -5w Solving -9 + 2p = 12 + 5p + -5w Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -9 + 2p + -5p = 12 + 5p + -5p + -5w Combine like terms: 2p + -5p = -3p -9 + -3p = 12 + 5p + -5p + -5w Combine like terms: 5p + -5p = 0 -9 + -3p = 12 + 0 + -5w -9 + -3p = 12 + -5w Add '9' to each side of the equation. -9 + 9 + -3p = 12 + 9 + -5w Combine like terms: -9 + 9 = 0 0 + -3p = 12 + 9 + -5w -3p = 12 + 9 + -5w Combine like terms: 12 + 9 = 21 -3p = 21 + -5w Divide each side by '-3'. p = -7 + 1.666666667w Simplifying p = -7 + 1.666666667w
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