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Simplifying 4p + 25 = 69(p + -3) + -3(4 + -3p) Reorder the terms: 25 + 4p = 69(p + -3) + -3(4 + -3p) Reorder the terms: 25 + 4p = 69(-3 + p) + -3(4 + -3p) 25 + 4p = (-3 * 69 + p * 69) + -3(4 + -3p) 25 + 4p = (-207 + 69p) + -3(4 + -3p) 25 + 4p = -207 + 69p + (4 * -3 + -3p * -3) 25 + 4p = -207 + 69p + (-12 + 9p) Reorder the terms: 25 + 4p = -207 + -12 + 69p + 9p Combine like terms: -207 + -12 = -219 25 + 4p = -219 + 69p + 9p Combine like terms: 69p + 9p = 78p 25 + 4p = -219 + 78p Solving 25 + 4p = -219 + 78p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-78p' to each side of the equation. 25 + 4p + -78p = -219 + 78p + -78p Combine like terms: 4p + -78p = -74p 25 + -74p = -219 + 78p + -78p Combine like terms: 78p + -78p = 0 25 + -74p = -219 + 0 25 + -74p = -219 Add '-25' to each side of the equation. 25 + -25 + -74p = -219 + -25 Combine like terms: 25 + -25 = 0 0 + -74p = -219 + -25 -74p = -219 + -25 Combine like terms: -219 + -25 = -244 -74p = -244 Divide each side by '-74'. p = 3.297297297 Simplifying p = 3.297297297
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