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Simplifying 7(4p + 4) + -6 = -4 + 2p Reorder the terms: 7(4 + 4p) + -6 = -4 + 2p (4 * 7 + 4p * 7) + -6 = -4 + 2p (28 + 28p) + -6 = -4 + 2p Reorder the terms: 28 + -6 + 28p = -4 + 2p Combine like terms: 28 + -6 = 22 22 + 28p = -4 + 2p Solving 22 + 28p = -4 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 22 + 28p + -2p = -4 + 2p + -2p Combine like terms: 28p + -2p = 26p 22 + 26p = -4 + 2p + -2p Combine like terms: 2p + -2p = 0 22 + 26p = -4 + 0 22 + 26p = -4 Add '-22' to each side of the equation. 22 + -22 + 26p = -4 + -22 Combine like terms: 22 + -22 = 0 0 + 26p = -4 + -22 26p = -4 + -22 Combine like terms: -4 + -22 = -26 26p = -26 Divide each side by '26'. p = -1 Simplifying p = -1
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