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Simplifying 4.3(0.1 + 7.4p) + -1.9 = 198.6778 (0.1 * 4.3 + 7.4p * 4.3) + -1.9 = 198.6778 (0.43 + 31.82p) + -1.9 = 198.6778 Reorder the terms: 0.43 + -1.9 + 31.82p = 198.6778 Combine like terms: 0.43 + -1.9 = -1.47 -1.47 + 31.82p = 198.6778 Solving -1.47 + 31.82p = 198.6778 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1.47' to each side of the equation. -1.47 + 1.47 + 31.82p = 198.6778 + 1.47 Combine like terms: -1.47 + 1.47 = 0.00 0.00 + 31.82p = 198.6778 + 1.47 31.82p = 198.6778 + 1.47 Combine like terms: 198.6778 + 1.47 = 200.1478 31.82p = 200.1478 Divide each side by '31.82'. p = 6.29 Simplifying p = 6.29
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