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