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Simplifying 45p + 30 = 35p + 10 Reorder the terms: 30 + 45p = 35p + 10 Reorder the terms: 30 + 45p = 10 + 35p Solving 30 + 45p = 10 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 30 + 45p + -35p = 10 + 35p + -35p Combine like terms: 45p + -35p = 10p 30 + 10p = 10 + 35p + -35p Combine like terms: 35p + -35p = 0 30 + 10p = 10 + 0 30 + 10p = 10 Add '-30' to each side of the equation. 30 + -30 + 10p = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 10p = 10 + -30 10p = 10 + -30 Combine like terms: 10 + -30 = -20 10p = -20 Divide each side by '10'. p = -2 Simplifying p = -2
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