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Simplifying -35w + 12 = -6w + -45 Reorder the terms: 12 + -35w = -6w + -45 Reorder the terms: 12 + -35w = -45 + -6w Solving 12 + -35w = -45 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 12 + -35w + 6w = -45 + -6w + 6w Combine like terms: -35w + 6w = -29w 12 + -29w = -45 + -6w + 6w Combine like terms: -6w + 6w = 0 12 + -29w = -45 + 0 12 + -29w = -45 Add '-12' to each side of the equation. 12 + -12 + -29w = -45 + -12 Combine like terms: 12 + -12 = 0 0 + -29w = -45 + -12 -29w = -45 + -12 Combine like terms: -45 + -12 = -57 -29w = -57 Divide each side by '-29'. w = 1.965517241 Simplifying w = 1.965517241
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