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Simplifying 7 + -2w = 2w + 19 Reorder the terms: 7 + -2w = 19 + 2w Solving 7 + -2w = 19 + 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 + -2w + -2w = 19 + 2w + -2w Combine like terms: -2w + -2w = -4w 7 + -4w = 19 + 2w + -2w Combine like terms: 2w + -2w = 0 7 + -4w = 19 + 0 7 + -4w = 19 Add '-7' to each side of the equation. 7 + -7 + -4w = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -4w = 19 + -7 -4w = 19 + -7 Combine like terms: 19 + -7 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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