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Simplifying -6(4p + 2) + -40 = 2(2p + 2) Reorder the terms: -6(2 + 4p) + -40 = 2(2p + 2) (2 * -6 + 4p * -6) + -40 = 2(2p + 2) (-12 + -24p) + -40 = 2(2p + 2) Reorder the terms: -12 + -40 + -24p = 2(2p + 2) Combine like terms: -12 + -40 = -52 -52 + -24p = 2(2p + 2) Reorder the terms: -52 + -24p = 2(2 + 2p) -52 + -24p = (2 * 2 + 2p * 2) -52 + -24p = (4 + 4p) Solving -52 + -24p = 4 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -52 + -24p + -4p = 4 + 4p + -4p Combine like terms: -24p + -4p = -28p -52 + -28p = 4 + 4p + -4p Combine like terms: 4p + -4p = 0 -52 + -28p = 4 + 0 -52 + -28p = 4 Add '52' to each side of the equation. -52 + 52 + -28p = 4 + 52 Combine like terms: -52 + 52 = 0 0 + -28p = 4 + 52 -28p = 4 + 52 Combine like terms: 4 + 52 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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