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Simplifying 7(4p + 4) + -36 = 4(2p + 2) Reorder the terms: 7(4 + 4p) + -36 = 4(2p + 2) (4 * 7 + 4p * 7) + -36 = 4(2p + 2) (28 + 28p) + -36 = 4(2p + 2) Reorder the terms: 28 + -36 + 28p = 4(2p + 2) Combine like terms: 28 + -36 = -8 -8 + 28p = 4(2p + 2) Reorder the terms: -8 + 28p = 4(2 + 2p) -8 + 28p = (2 * 4 + 2p * 4) -8 + 28p = (8 + 8p) Solving -8 + 28p = 8 + 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. -8 + 28p + -8p = 8 + 8p + -8p Combine like terms: 28p + -8p = 20p -8 + 20p = 8 + 8p + -8p Combine like terms: 8p + -8p = 0 -8 + 20p = 8 + 0 -8 + 20p = 8 Add '8' to each side of the equation. -8 + 8 + 20p = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 20p = 8 + 8 20p = 8 + 8 Combine like terms: 8 + 8 = 16 20p = 16 Divide each side by '20'. p = 0.8 Simplifying p = 0.8
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