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Simplifying 1196 = 23(p + 10) Reorder the terms: 1196 = 23(10 + p) 1196 = (10 * 23 + p * 23) 1196 = (230 + 23p) Solving 1196 = 230 + 23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23p' to each side of the equation. 1196 + -23p = 230 + 23p + -23p Combine like terms: 23p + -23p = 0 1196 + -23p = 230 + 0 1196 + -23p = 230 Add '-1196' to each side of the equation. 1196 + -1196 + -23p = 230 + -1196 Combine like terms: 1196 + -1196 = 0 0 + -23p = 230 + -1196 -23p = 230 + -1196 Combine like terms: 230 + -1196 = -966 -23p = -966 Divide each side by '-23'. p = 42 Simplifying p = 42
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