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Simplifying 14 + -11 + -2p = 6p + 5(p + 3) Combine like terms: 14 + -11 = 3 3 + -2p = 6p + 5(p + 3) Reorder the terms: 3 + -2p = 6p + 5(3 + p) 3 + -2p = 6p + (3 * 5 + p * 5) 3 + -2p = 6p + (15 + 5p) Reorder the terms: 3 + -2p = 15 + 6p + 5p Combine like terms: 6p + 5p = 11p 3 + -2p = 15 + 11p Solving 3 + -2p = 15 + 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. 3 + -2p + -11p = 15 + 11p + -11p Combine like terms: -2p + -11p = -13p 3 + -13p = 15 + 11p + -11p Combine like terms: 11p + -11p = 0 3 + -13p = 15 + 0 3 + -13p = 15 Add '-3' to each side of the equation. 3 + -3 + -13p = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -13p = 15 + -3 -13p = 15 + -3 Combine like terms: 15 + -3 = 12 -13p = 12 Divide each side by '-13'. p = -0.9230769231 Simplifying p = -0.9230769231
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