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Simplifying 2.5(p + -2) = 2.9p + 6.3 Reorder the terms: 2.5(-2 + p) = 2.9p + 6.3 (-2 * 2.5 + p * 2.5) = 2.9p + 6.3 (-5 + 2.5p) = 2.9p + 6.3 Reorder the terms: -5 + 2.5p = 6.3 + 2.9p Solving -5 + 2.5p = 6.3 + 2.9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2.9p' to each side of the equation. -5 + 2.5p + -2.9p = 6.3 + 2.9p + -2.9p Combine like terms: 2.5p + -2.9p = -0.4p -5 + -0.4p = 6.3 + 2.9p + -2.9p Combine like terms: 2.9p + -2.9p = 0.0 -5 + -0.4p = 6.3 + 0.0 -5 + -0.4p = 6.3 Add '5' to each side of the equation. -5 + 5 + -0.4p = 6.3 + 5 Combine like terms: -5 + 5 = 0 0 + -0.4p = 6.3 + 5 -0.4p = 6.3 + 5 Combine like terms: 6.3 + 5 = 11.3 -0.4p = 11.3 Divide each side by '-0.4'. p = -28.25 Simplifying p = -28.25
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