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Simplifying 4(7 + -6.8p) = 5p + -4.2 (7 * 4 + -6.8p * 4) = 5p + -4.2 (28 + -27.2p) = 5p + -4.2 Reorder the terms: 28 + -27.2p = -4.2 + 5p Solving 28 + -27.2p = -4.2 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 28 + -27.2p + -5p = -4.2 + 5p + -5p Combine like terms: -27.2p + -5p = -32.2p 28 + -32.2p = -4.2 + 5p + -5p Combine like terms: 5p + -5p = 0 28 + -32.2p = -4.2 + 0 28 + -32.2p = -4.2 Add '-28' to each side of the equation. 28 + -28 + -32.2p = -4.2 + -28 Combine like terms: 28 + -28 = 0 0 + -32.2p = -4.2 + -28 -32.2p = -4.2 + -28 Combine like terms: -4.2 + -28 = -32.2 -32.2p = -32.2 Divide each side by '-32.2'. p = 1 Simplifying p = 1
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