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Simplifying 3.1p + 29 = 4.1p + 14 Reorder the terms: 29 + 3.1p = 4.1p + 14 Reorder the terms: 29 + 3.1p = 14 + 4.1p Solving 29 + 3.1p = 14 + 4.1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.1p' to each side of the equation. 29 + 3.1p + -4.1p = 14 + 4.1p + -4.1p Combine like terms: 3.1p + -4.1p = -1p 29 + -1p = 14 + 4.1p + -4.1p Combine like terms: 4.1p + -4.1p = 0.0 29 + -1p = 14 + 0.0 29 + -1p = 14 Add '-29' to each side of the equation. 29 + -29 + -1p = 14 + -29 Combine like terms: 29 + -29 = 0 0 + -1p = 14 + -29 -1p = 14 + -29 Combine like terms: 14 + -29 = -15 -1p = -15 Divide each side by '-1'. p = 15 Simplifying p = 15
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