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Simplifying 64(5p + -2) = 4(2p + 5) Reorder the terms: 64(-2 + 5p) = 4(2p + 5) (-2 * 64 + 5p * 64) = 4(2p + 5) (-128 + 320p) = 4(2p + 5) Reorder the terms: -128 + 320p = 4(5 + 2p) -128 + 320p = (5 * 4 + 2p * 4) -128 + 320p = (20 + 8p) Solving -128 + 320p = 20 + 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. -128 + 320p + -8p = 20 + 8p + -8p Combine like terms: 320p + -8p = 312p -128 + 312p = 20 + 8p + -8p Combine like terms: 8p + -8p = 0 -128 + 312p = 20 + 0 -128 + 312p = 20 Add '128' to each side of the equation. -128 + 128 + 312p = 20 + 128 Combine like terms: -128 + 128 = 0 0 + 312p = 20 + 128 312p = 20 + 128 Combine like terms: 20 + 128 = 148 312p = 148 Divide each side by '312'. p = 0.4743589744 Simplifying p = 0.4743589744
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