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Simplifying 3 + 6(p + -2) = 7 + 8p Reorder the terms: 3 + 6(-2 + p) = 7 + 8p 3 + (-2 * 6 + p * 6) = 7 + 8p 3 + (-12 + 6p) = 7 + 8p Combine like terms: 3 + -12 = -9 -9 + 6p = 7 + 8p Solving -9 + 6p = 7 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -9 + 6p + -8p = 7 + 8p + -8p Combine like terms: 6p + -8p = -2p -9 + -2p = 7 + 8p + -8p Combine like terms: 8p + -8p = 0 -9 + -2p = 7 + 0 -9 + -2p = 7 Add '9' to each side of the equation. -9 + 9 + -2p = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -2p = 7 + 9 -2p = 7 + 9 Combine like terms: 7 + 9 = 16 -2p = 16 Divide each side by '-2'. p = -8 Simplifying p = -8
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