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Simplifying 9(p + 10) + 5 = 4p + -5 Reorder the terms: 9(10 + p) + 5 = 4p + -5 (10 * 9 + p * 9) + 5 = 4p + -5 (90 + 9p) + 5 = 4p + -5 Reorder the terms: 90 + 5 + 9p = 4p + -5 Combine like terms: 90 + 5 = 95 95 + 9p = 4p + -5 Reorder the terms: 95 + 9p = -5 + 4p Solving 95 + 9p = -5 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 95 + 9p + -4p = -5 + 4p + -4p Combine like terms: 9p + -4p = 5p 95 + 5p = -5 + 4p + -4p Combine like terms: 4p + -4p = 0 95 + 5p = -5 + 0 95 + 5p = -5 Add '-95' to each side of the equation. 95 + -95 + 5p = -5 + -95 Combine like terms: 95 + -95 = 0 0 + 5p = -5 + -95 5p = -5 + -95 Combine like terms: -5 + -95 = -100 5p = -100 Divide each side by '5'. p = -20 Simplifying p = -20
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