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Simplifying 4(2.250 + 3.1) + -2.75w = 44.9 Combine like terms: 2.250 + 3.1 = 5.35 4(5.35) + -2.75w = 44.9 Multiply 4 * 5.35 21.4 + -2.75w = 44.9 Solving 21.4 + -2.75w = 44.9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21.4' to each side of the equation. 21.4 + -21.4 + -2.75w = 44.9 + -21.4 Combine like terms: 21.4 + -21.4 = 0.0 0.0 + -2.75w = 44.9 + -21.4 -2.75w = 44.9 + -21.4 Combine like terms: 44.9 + -21.4 = 23.5 -2.75w = 23.5 Divide each side by '-2.75'. w = -8.545454545 Simplifying w = -8.545454545
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