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Simplifying -6(4p + 3) + -34 = 4(2p + 3) Reorder the terms: -6(3 + 4p) + -34 = 4(2p + 3) (3 * -6 + 4p * -6) + -34 = 4(2p + 3) (-18 + -24p) + -34 = 4(2p + 3) Reorder the terms: -18 + -34 + -24p = 4(2p + 3) Combine like terms: -18 + -34 = -52 -52 + -24p = 4(2p + 3) Reorder the terms: -52 + -24p = 4(3 + 2p) -52 + -24p = (3 * 4 + 2p * 4) -52 + -24p = (12 + 8p) Solving -52 + -24p = 12 + 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. -52 + -24p + -8p = 12 + 8p + -8p Combine like terms: -24p + -8p = -32p -52 + -32p = 12 + 8p + -8p Combine like terms: 8p + -8p = 0 -52 + -32p = 12 + 0 -52 + -32p = 12 Add '52' to each side of the equation. -52 + 52 + -32p = 12 + 52 Combine like terms: -52 + 52 = 0 0 + -32p = 12 + 52 -32p = 12 + 52 Combine like terms: 12 + 52 = 64 -32p = 64 Divide each side by '-32'. p = -2 Simplifying p = -2
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