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Simplifying 2w + 5 = 4w + -7 Reorder the terms: 5 + 2w = 4w + -7 Reorder the terms: 5 + 2w = -7 + 4w Solving 5 + 2w = -7 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 5 + 2w + -4w = -7 + 4w + -4w Combine like terms: 2w + -4w = -2w 5 + -2w = -7 + 4w + -4w Combine like terms: 4w + -4w = 0 5 + -2w = -7 + 0 5 + -2w = -7 Add '-5' to each side of the equation. 5 + -5 + -2w = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = -7 + -5 -2w = -7 + -5 Combine like terms: -7 + -5 = -12 -2w = -12 Divide each side by '-2'. w = 6 Simplifying w = 6
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