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Simplifying w + -0.625w + -0.5 = 0.75(w + -0.2) Reorder the terms: -0.5 + w + -0.625w = 0.75(w + -0.2) Combine like terms: w + -0.625w = 0.375w -0.5 + 0.375w = 0.75(w + -0.2) Reorder the terms: -0.5 + 0.375w = 0.75(-0.2 + w) -0.5 + 0.375w = (-0.2 * 0.75 + w * 0.75) -0.5 + 0.375w = (-0.15 + 0.75w) Solving -0.5 + 0.375w = -0.15 + 0.75w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.75w' to each side of the equation. -0.5 + 0.375w + -0.75w = -0.15 + 0.75w + -0.75w Combine like terms: 0.375w + -0.75w = -0.375w -0.5 + -0.375w = -0.15 + 0.75w + -0.75w Combine like terms: 0.75w + -0.75w = 0.00 -0.5 + -0.375w = -0.15 + 0.00 -0.5 + -0.375w = -0.15 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.375w = -0.15 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.375w = -0.15 + 0.5 -0.375w = -0.15 + 0.5 Combine like terms: -0.15 + 0.5 = 0.35 -0.375w = 0.35 Divide each side by '-0.375'. w = -0.9333333333 Simplifying w = -0.9333333333
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