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Simplifying 4(2.25w) + 3.1 + -2.75w = 44.9 Remove parenthesis around (2.25w) 4 * 2.25w + 3.1 + -2.75w = 44.9 Multiply 4 * 2.25 9w + 3.1 + -2.75w = 44.9 Reorder the terms: 3.1 + 9w + -2.75w = 44.9 Combine like terms: 9w + -2.75w = 6.25w 3.1 + 6.25w = 44.9 Solving 3.1 + 6.25w = 44.9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3.1' to each side of the equation. 3.1 + -3.1 + 6.25w = 44.9 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + 6.25w = 44.9 + -3.1 6.25w = 44.9 + -3.1 Combine like terms: 44.9 + -3.1 = 41.8 6.25w = 41.8 Divide each side by '6.25'. w = 6.688 Simplifying w = 6.688
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