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Simplifying 5(5p + -3) = 5(p + -1) Reorder the terms: 5(-3 + 5p) = 5(p + -1) (-3 * 5 + 5p * 5) = 5(p + -1) (-15 + 25p) = 5(p + -1) Reorder the terms: -15 + 25p = 5(-1 + p) -15 + 25p = (-1 * 5 + p * 5) -15 + 25p = (-5 + 5p) Solving -15 + 25p = -5 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -15 + 25p + -5p = -5 + 5p + -5p Combine like terms: 25p + -5p = 20p -15 + 20p = -5 + 5p + -5p Combine like terms: 5p + -5p = 0 -15 + 20p = -5 + 0 -15 + 20p = -5 Add '15' to each side of the equation. -15 + 15 + 20p = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 20p = -5 + 15 20p = -5 + 15 Combine like terms: -5 + 15 = 10 20p = 10 Divide each side by '20'. p = 0.5 Simplifying p = 0.5
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