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Simplifying 9 + -1(14p + -10) + 4p = 11(p + 2) + 8 Reorder the terms: 9 + -1(-10 + 14p) + 4p = 11(p + 2) + 8 9 + (-10 * -1 + 14p * -1) + 4p = 11(p + 2) + 8 9 + (10 + -14p) + 4p = 11(p + 2) + 8 Combine like terms: 9 + 10 = 19 19 + -14p + 4p = 11(p + 2) + 8 Combine like terms: -14p + 4p = -10p 19 + -10p = 11(p + 2) + 8 Reorder the terms: 19 + -10p = 11(2 + p) + 8 19 + -10p = (2 * 11 + p * 11) + 8 19 + -10p = (22 + 11p) + 8 Reorder the terms: 19 + -10p = 22 + 8 + 11p Combine like terms: 22 + 8 = 30 19 + -10p = 30 + 11p Solving 19 + -10p = 30 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. 19 + -10p + -11p = 30 + 11p + -11p Combine like terms: -10p + -11p = -21p 19 + -21p = 30 + 11p + -11p Combine like terms: 11p + -11p = 0 19 + -21p = 30 + 0 19 + -21p = 30 Add '-19' to each side of the equation. 19 + -19 + -21p = 30 + -19 Combine like terms: 19 + -19 = 0 0 + -21p = 30 + -19 -21p = 30 + -19 Combine like terms: 30 + -19 = 11 -21p = 11 Divide each side by '-21'. p = -0.5238095238 Simplifying p = -0.5238095238
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