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Simplifying w + -1.33w + 0.16 = 0.33(w + 1.2) Reorder the terms: 0.16 + w + -1.33w = 0.33(w + 1.2) Combine like terms: w + -1.33w = -0.33w 0.16 + -0.33w = 0.33(w + 1.2) Reorder the terms: 0.16 + -0.33w = 0.33(1.2 + w) 0.16 + -0.33w = (1.2 * 0.33 + w * 0.33) 0.16 + -0.33w = (0.396 + 0.33w) Solving 0.16 + -0.33w = 0.396 + 0.33w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.33w' to each side of the equation. 0.16 + -0.33w + -0.33w = 0.396 + 0.33w + -0.33w Combine like terms: -0.33w + -0.33w = -0.66w 0.16 + -0.66w = 0.396 + 0.33w + -0.33w Combine like terms: 0.33w + -0.33w = 0.00 0.16 + -0.66w = 0.396 + 0.00 0.16 + -0.66w = 0.396 Add '-0.16' to each side of the equation. 0.16 + -0.16 + -0.66w = 0.396 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + -0.66w = 0.396 + -0.16 -0.66w = 0.396 + -0.16 Combine like terms: 0.396 + -0.16 = 0.236 -0.66w = 0.236 Divide each side by '-0.66'. w = -0.3575757576 Simplifying w = -0.3575757576
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