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Simplifying -1.8p + 6.41 = 0.8(13 + -2p) Reorder the terms: 6.41 + -1.8p = 0.8(13 + -2p) 6.41 + -1.8p = (13 * 0.8 + -2p * 0.8) 6.41 + -1.8p = (10.4 + -1.6p) Solving 6.41 + -1.8p = 10.4 + -1.6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1.6p' to each side of the equation. 6.41 + -1.8p + 1.6p = 10.4 + -1.6p + 1.6p Combine like terms: -1.8p + 1.6p = -0.2p 6.41 + -0.2p = 10.4 + -1.6p + 1.6p Combine like terms: -1.6p + 1.6p = 0.0 6.41 + -0.2p = 10.4 + 0.0 6.41 + -0.2p = 10.4 Add '-6.41' to each side of the equation. 6.41 + -6.41 + -0.2p = 10.4 + -6.41 Combine like terms: 6.41 + -6.41 = 0.00 0.00 + -0.2p = 10.4 + -6.41 -0.2p = 10.4 + -6.41 Combine like terms: 10.4 + -6.41 = 3.99 -0.2p = 3.99 Divide each side by '-0.2'. p = -19.95 Simplifying p = -19.95
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