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Simplifying (5p + -8) + -1p = (3p + 8) + -1(5p + -8) Reorder the terms: (-8 + 5p) + -1p = (3p + 8) + -1(5p + -8) Remove parenthesis around (-8 + 5p) -8 + 5p + -1p = (3p + 8) + -1(5p + -8) Combine like terms: 5p + -1p = 4p -8 + 4p = (3p + 8) + -1(5p + -8) Reorder the terms: -8 + 4p = (8 + 3p) + -1(5p + -8) Remove parenthesis around (8 + 3p) -8 + 4p = 8 + 3p + -1(5p + -8) Reorder the terms: -8 + 4p = 8 + 3p + -1(-8 + 5p) -8 + 4p = 8 + 3p + (-8 * -1 + 5p * -1) -8 + 4p = 8 + 3p + (8 + -5p) Reorder the terms: -8 + 4p = 8 + 8 + 3p + -5p Combine like terms: 8 + 8 = 16 -8 + 4p = 16 + 3p + -5p Combine like terms: 3p + -5p = -2p -8 + 4p = 16 + -2p Solving -8 + 4p = 16 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -8 + 4p + 2p = 16 + -2p + 2p Combine like terms: 4p + 2p = 6p -8 + 6p = 16 + -2p + 2p Combine like terms: -2p + 2p = 0 -8 + 6p = 16 + 0 -8 + 6p = 16 Add '8' to each side of the equation. -8 + 8 + 6p = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 6p = 16 + 8 6p = 16 + 8 Combine like terms: 16 + 8 = 24 6p = 24 Divide each side by '6'. p = 4 Simplifying p = 4
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