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Simplifying (3p + -7) = (5p + -6) Reorder the terms: (-7 + 3p) = (5p + -6) Remove parenthesis around (-7 + 3p) -7 + 3p = (5p + -6) Reorder the terms: -7 + 3p = (-6 + 5p) Remove parenthesis around (-6 + 5p) -7 + 3p = -6 + 5p Solving -7 + 3p = -6 + 5p 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. -7 + 3p + -5p = -6 + 5p + -5p Combine like terms: 3p + -5p = -2p -7 + -2p = -6 + 5p + -5p Combine like terms: 5p + -5p = 0 -7 + -2p = -6 + 0 -7 + -2p = -6 Add '7' to each side of the equation. -7 + 7 + -2p = -6 + 7 Combine like terms: -7 + 7 = 0 0 + -2p = -6 + 7 -2p = -6 + 7 Combine like terms: -6 + 7 = 1 -2p = 1 Divide each side by '-2'. p = -0.5 Simplifying p = -0.5
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