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Simplifying 3(2p + -1) = 5(1 + -1p) + 3 Reorder the terms: 3(-1 + 2p) = 5(1 + -1p) + 3 (-1 * 3 + 2p * 3) = 5(1 + -1p) + 3 (-3 + 6p) = 5(1 + -1p) + 3 -3 + 6p = (1 * 5 + -1p * 5) + 3 -3 + 6p = (5 + -5p) + 3 Reorder the terms: -3 + 6p = 5 + 3 + -5p Combine like terms: 5 + 3 = 8 -3 + 6p = 8 + -5p Solving -3 + 6p = 8 + -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. -3 + 6p + 5p = 8 + -5p + 5p Combine like terms: 6p + 5p = 11p -3 + 11p = 8 + -5p + 5p Combine like terms: -5p + 5p = 0 -3 + 11p = 8 + 0 -3 + 11p = 8 Add '3' to each side of the equation. -3 + 3 + 11p = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 11p = 8 + 3 11p = 8 + 3 Combine like terms: 8 + 3 = 11 11p = 11 Divide each side by '11'. p = 1 Simplifying p = 1
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