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Simplifying 312 = 2(2w + -6 + 2w) Reorder the terms: 312 = 2(-6 + 2w + 2w) Combine like terms: 2w + 2w = 4w 312 = 2(-6 + 4w) 312 = (-6 * 2 + 4w * 2) 312 = (-12 + 8w) Solving 312 = -12 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 312 + -8w = -12 + 8w + -8w Combine like terms: 8w + -8w = 0 312 + -8w = -12 + 0 312 + -8w = -12 Add '-312' to each side of the equation. 312 + -312 + -8w = -12 + -312 Combine like terms: 312 + -312 = 0 0 + -8w = -12 + -312 -8w = -12 + -312 Combine like terms: -12 + -312 = -324 -8w = -324 Divide each side by '-8'. w = 40.5 Simplifying w = 40.5
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