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Simplifying 2(2p + 4) = -6(p + 7) Reorder the terms: 2(4 + 2p) = -6(p + 7) (4 * 2 + 2p * 2) = -6(p + 7) (8 + 4p) = -6(p + 7) Reorder the terms: 8 + 4p = -6(7 + p) 8 + 4p = (7 * -6 + p * -6) 8 + 4p = (-42 + -6p) Solving 8 + 4p = -42 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 8 + 4p + 6p = -42 + -6p + 6p Combine like terms: 4p + 6p = 10p 8 + 10p = -42 + -6p + 6p Combine like terms: -6p + 6p = 0 8 + 10p = -42 + 0 8 + 10p = -42 Add '-8' to each side of the equation. 8 + -8 + 10p = -42 + -8 Combine like terms: 8 + -8 = 0 0 + 10p = -42 + -8 10p = -42 + -8 Combine like terms: -42 + -8 = -50 10p = -50 Divide each side by '10'. p = -5 Simplifying p = -5
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