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Simplifying (3p + -7) + (5p + -6) = 0 Reorder the terms: (-7 + 3p) + (5p + -6) = 0 Remove parenthesis around (-7 + 3p) -7 + 3p + (5p + -6) = 0 Reorder the terms: -7 + 3p + (-6 + 5p) = 0 Remove parenthesis around (-6 + 5p) -7 + 3p + -6 + 5p = 0 Reorder the terms: -7 + -6 + 3p + 5p = 0 Combine like terms: -7 + -6 = -13 -13 + 3p + 5p = 0 Combine like terms: 3p + 5p = 8p -13 + 8p = 0 Solving -13 + 8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8p = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 8p = 0 + 13 8p = 0 + 13 Combine like terms: 0 + 13 = 13 8p = 13 Divide each side by '8'. p = 1.625 Simplifying p = 1.625
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