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Simplifying 7.57 = 2(w + -3.05) + 0.07 Reorder the terms: 7.57 = 2(-3.05 + w) + 0.07 7.57 = (-3.05 * 2 + w * 2) + 0.07 7.57 = (-6.1 + 2w) + 0.07 Reorder the terms: 7.57 = -6.1 + 0.07 + 2w Combine like terms: -6.1 + 0.07 = -6.03 7.57 = -6.03 + 2w Solving 7.57 = -6.03 + 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. 7.57 + -2w = -6.03 + 2w + -2w Combine like terms: 2w + -2w = 0 7.57 + -2w = -6.03 + 0 7.57 + -2w = -6.03 Add '-7.57' to each side of the equation. 7.57 + -7.57 + -2w = -6.03 + -7.57 Combine like terms: 7.57 + -7.57 = 0.00 0.00 + -2w = -6.03 + -7.57 -2w = -6.03 + -7.57 Combine like terms: -6.03 + -7.57 = -13.6 -2w = -13.6 Divide each side by '-2'. w = 6.8 Simplifying w = 6.8
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