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Simplifying -7(4p + 2) + -42 = 2(2p + 4) Reorder the terms: -7(2 + 4p) + -42 = 2(2p + 4) (2 * -7 + 4p * -7) + -42 = 2(2p + 4) (-14 + -28p) + -42 = 2(2p + 4) Reorder the terms: -14 + -42 + -28p = 2(2p + 4) Combine like terms: -14 + -42 = -56 -56 + -28p = 2(2p + 4) Reorder the terms: -56 + -28p = 2(4 + 2p) -56 + -28p = (4 * 2 + 2p * 2) -56 + -28p = (8 + 4p) Solving -56 + -28p = 8 + 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. -56 + -28p + -4p = 8 + 4p + -4p Combine like terms: -28p + -4p = -32p -56 + -32p = 8 + 4p + -4p Combine like terms: 4p + -4p = 0 -56 + -32p = 8 + 0 -56 + -32p = 8 Add '56' to each side of the equation. -56 + 56 + -32p = 8 + 56 Combine like terms: -56 + 56 = 0 0 + -32p = 8 + 56 -32p = 8 + 56 Combine like terms: 8 + 56 = 64 -32p = 64 Divide each side by '-32'. p = -2 Simplifying p = -2
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