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