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Simplifying 5p + -15 = -5(4p + -2) Reorder the terms: -15 + 5p = -5(4p + -2) Reorder the terms: -15 + 5p = -5(-2 + 4p) -15 + 5p = (-2 * -5 + 4p * -5) -15 + 5p = (10 + -20p) Solving -15 + 5p = 10 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. -15 + 5p + 20p = 10 + -20p + 20p Combine like terms: 5p + 20p = 25p -15 + 25p = 10 + -20p + 20p Combine like terms: -20p + 20p = 0 -15 + 25p = 10 + 0 -15 + 25p = 10 Add '15' to each side of the equation. -15 + 15 + 25p = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 25p = 10 + 15 25p = 10 + 15 Combine like terms: 10 + 15 = 25 25p = 25 Divide each side by '25'. p = 1 Simplifying p = 1
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