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Simplifying 3p + -1(9 + 14) = 9 + -1(8p + -2) Combine like terms: 9 + 14 = 23 3p + -1(23) = 9 + -1(8p + -2) Multiply -1 * 23 3p + -23 = 9 + -1(8p + -2) Reorder the terms: -23 + 3p = 9 + -1(8p + -2) Reorder the terms: -23 + 3p = 9 + -1(-2 + 8p) -23 + 3p = 9 + (-2 * -1 + 8p * -1) -23 + 3p = 9 + (2 + -8p) Combine like terms: 9 + 2 = 11 -23 + 3p = 11 + -8p Solving -23 + 3p = 11 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -23 + 3p + 8p = 11 + -8p + 8p Combine like terms: 3p + 8p = 11p -23 + 11p = 11 + -8p + 8p Combine like terms: -8p + 8p = 0 -23 + 11p = 11 + 0 -23 + 11p = 11 Add '23' to each side of the equation. -23 + 23 + 11p = 11 + 23 Combine like terms: -23 + 23 = 0 0 + 11p = 11 + 23 11p = 11 + 23 Combine like terms: 11 + 23 = 34 11p = 34 Divide each side by '11'. p = 3.090909091 Simplifying p = 3.090909091
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