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Simplifying 2.5(2p + 5) = 1.4p + 5 Reorder the terms: 2.5(5 + 2p) = 1.4p + 5 (5 * 2.5 + 2p * 2.5) = 1.4p + 5 (12.5 + 5p) = 1.4p + 5 Reorder the terms: 12.5 + 5p = 5 + 1.4p Solving 12.5 + 5p = 5 + 1.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.4p' to each side of the equation. 12.5 + 5p + -1.4p = 5 + 1.4p + -1.4p Combine like terms: 5p + -1.4p = 3.6p 12.5 + 3.6p = 5 + 1.4p + -1.4p Combine like terms: 1.4p + -1.4p = 0.0 12.5 + 3.6p = 5 + 0.0 12.5 + 3.6p = 5 Add '-12.5' to each side of the equation. 12.5 + -12.5 + 3.6p = 5 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 3.6p = 5 + -12.5 3.6p = 5 + -12.5 Combine like terms: 5 + -12.5 = -7.5 3.6p = -7.5 Divide each side by '3.6'. p = -2.083333333 Simplifying p = -2.083333333
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