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Simplifying 3 = (1 + 0.06)(1.61w + 4.51) Combine like terms: 1 + 0.06 = 1.06 3 = (1.06)(1.61w + 4.51) Reorder the terms: 3 = 1.06(4.51 + 1.61w) 3 = (4.51 * 1.06 + 1.61w * 1.06) 3 = (4.7806 + 1.7066w) Solving 3 = 4.7806 + 1.7066w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.7066w' to each side of the equation. 3 + -1.7066w = 4.7806 + 1.7066w + -1.7066w Combine like terms: 1.7066w + -1.7066w = 0.0000 3 + -1.7066w = 4.7806 + 0.0000 3 + -1.7066w = 4.7806 Add '-3' to each side of the equation. 3 + -3 + -1.7066w = 4.7806 + -3 Combine like terms: 3 + -3 = 0 0 + -1.7066w = 4.7806 + -3 -1.7066w = 4.7806 + -3 Combine like terms: 4.7806 + -3 = 1.7806 -1.7066w = 1.7806 Divide each side by '-1.7066'. w = -1.043361069 Simplifying w = -1.043361069
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