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Simplifying 14 + 45p = -35 + -1(-50p + 6) Reorder the terms: 14 + 45p = -35 + -1(6 + -50p) 14 + 45p = -35 + (6 * -1 + -50p * -1) 14 + 45p = -35 + (-6 + 50p) Combine like terms: -35 + -6 = -41 14 + 45p = -41 + 50p Solving 14 + 45p = -41 + 50p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-50p' to each side of the equation. 14 + 45p + -50p = -41 + 50p + -50p Combine like terms: 45p + -50p = -5p 14 + -5p = -41 + 50p + -50p Combine like terms: 50p + -50p = 0 14 + -5p = -41 + 0 14 + -5p = -41 Add '-14' to each side of the equation. 14 + -14 + -5p = -41 + -14 Combine like terms: 14 + -14 = 0 0 + -5p = -41 + -14 -5p = -41 + -14 Combine like terms: -41 + -14 = -55 -5p = -55 Divide each side by '-5'. p = 11 Simplifying p = 11
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