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Simplifying -2w + -45 = 59(w + -2) Reorder the terms: -45 + -2w = 59(w + -2) Reorder the terms: -45 + -2w = 59(-2 + w) -45 + -2w = (-2 * 59 + w * 59) -45 + -2w = (-118 + 59w) Solving -45 + -2w = -118 + 59w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-59w' to each side of the equation. -45 + -2w + -59w = -118 + 59w + -59w Combine like terms: -2w + -59w = -61w -45 + -61w = -118 + 59w + -59w Combine like terms: 59w + -59w = 0 -45 + -61w = -118 + 0 -45 + -61w = -118 Add '45' to each side of the equation. -45 + 45 + -61w = -118 + 45 Combine like terms: -45 + 45 = 0 0 + -61w = -118 + 45 -61w = -118 + 45 Combine like terms: -118 + 45 = -73 -61w = -73 Divide each side by '-61'. w = 1.196721311 Simplifying w = 1.196721311
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