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Simplifying 1.75w + -1 = 2w + 5 Reorder the terms: -1 + 1.75w = 2w + 5 Reorder the terms: -1 + 1.75w = 5 + 2w Solving -1 + 1.75w = 5 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -1 + 1.75w + -2w = 5 + 2w + -2w Combine like terms: 1.75w + -2w = -0.25w -1 + -0.25w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 -1 + -0.25w = 5 + 0 -1 + -0.25w = 5 Add '1' to each side of the equation. -1 + 1 + -0.25w = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -0.25w = 5 + 1 -0.25w = 5 + 1 Combine like terms: 5 + 1 = 6 -0.25w = 6 Divide each side by '-0.25'. w = -24 Simplifying w = -24
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