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Simplifying 5 + -3w = 7w Solving 5 + -3w = 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 5 + -3w + -7w = 7w + -7w Combine like terms: -3w + -7w = -10w 5 + -10w = 7w + -7w Combine like terms: 7w + -7w = 0 5 + -10w = 0 Add '-5' to each side of the equation. 5 + -5 + -10w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -10w = 0 + -5 -10w = 0 + -5 Combine like terms: 0 + -5 = -5 -10w = -5 Divide each side by '-10'. w = 0.5 Simplifying w = 0.5
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