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Simplifying 2(4p + -7) + -3(5p + -5) = 11p Reorder the terms: 2(-7 + 4p) + -3(5p + -5) = 11p (-7 * 2 + 4p * 2) + -3(5p + -5) = 11p (-14 + 8p) + -3(5p + -5) = 11p Reorder the terms: -14 + 8p + -3(-5 + 5p) = 11p -14 + 8p + (-5 * -3 + 5p * -3) = 11p -14 + 8p + (15 + -15p) = 11p Reorder the terms: -14 + 15 + 8p + -15p = 11p Combine like terms: -14 + 15 = 1 1 + 8p + -15p = 11p Combine like terms: 8p + -15p = -7p 1 + -7p = 11p Solving 1 + -7p = 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. 1 + -7p + -11p = 11p + -11p Combine like terms: -7p + -11p = -18p 1 + -18p = 11p + -11p Combine like terms: 11p + -11p = 0 1 + -18p = 0 Add '-1' to each side of the equation. 1 + -1 + -18p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -18p = 0 + -1 -18p = 0 + -1 Combine like terms: 0 + -1 = -1 -18p = -1 Divide each side by '-18'. p = 0.05555555556 Simplifying p = 0.05555555556
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