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Simplifying 0.25(w + -13) = 18 + 2w Reorder the terms: 0.25(-13 + w) = 18 + 2w (-13 * 0.25 + w * 0.25) = 18 + 2w (-3.25 + 0.25w) = 18 + 2w Solving -3.25 + 0.25w = 18 + 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. -3.25 + 0.25w + -2w = 18 + 2w + -2w Combine like terms: 0.25w + -2w = -1.75w -3.25 + -1.75w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 -3.25 + -1.75w = 18 + 0 -3.25 + -1.75w = 18 Add '3.25' to each side of the equation. -3.25 + 3.25 + -1.75w = 18 + 3.25 Combine like terms: -3.25 + 3.25 = 0.00 0.00 + -1.75w = 18 + 3.25 -1.75w = 18 + 3.25 Combine like terms: 18 + 3.25 = 21.25 -1.75w = 21.25 Divide each side by '-1.75'. w = -12.14285714 Simplifying w = -12.14285714
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