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Simplifying 7 + 0.20(p + -1) = 5 + 0.30(p + -1) Reorder the terms: 7 + 0.20(-1 + p) = 5 + 0.30(p + -1) 7 + (-1 * 0.20 + p * 0.20) = 5 + 0.30(p + -1) 7 + (-0.2 + 0.20p) = 5 + 0.30(p + -1) Combine like terms: 7 + -0.2 = 6.8 6.8 + 0.20p = 5 + 0.30(p + -1) Reorder the terms: 6.8 + 0.20p = 5 + 0.30(-1 + p) 6.8 + 0.20p = 5 + (-1 * 0.30 + p * 0.30) 6.8 + 0.20p = 5 + (-0.3 + 0.30p) Combine like terms: 5 + -0.3 = 4.7 6.8 + 0.20p = 4.7 + 0.30p Solving 6.8 + 0.20p = 4.7 + 0.30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.30p' to each side of the equation. 6.8 + 0.20p + -0.30p = 4.7 + 0.30p + -0.30p Combine like terms: 0.20p + -0.30p = -0.1p 6.8 + -0.1p = 4.7 + 0.30p + -0.30p Combine like terms: 0.30p + -0.30p = 0.00 6.8 + -0.1p = 4.7 + 0.00 6.8 + -0.1p = 4.7 Add '-6.8' to each side of the equation. 6.8 + -6.8 + -0.1p = 4.7 + -6.8 Combine like terms: 6.8 + -6.8 = 0.0 0.0 + -0.1p = 4.7 + -6.8 -0.1p = 4.7 + -6.8 Combine like terms: 4.7 + -6.8 = -2.1 -0.1p = -2.1 Divide each side by '-0.1'. p = 21 Simplifying p = 21
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