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Simplifying 5 = 3w + 7w + -2 Reorder the terms: 5 = -2 + 3w + 7w Combine like terms: 3w + 7w = 10w 5 = -2 + 10w Solving 5 = -2 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 5 + -10w = -2 + 10w + -10w Combine like terms: 10w + -10w = 0 5 + -10w = -2 + 0 5 + -10w = -2 Add '-5' to each side of the equation. 5 + -5 + -10w = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -10w = -2 + -5 -10w = -2 + -5 Combine like terms: -2 + -5 = -7 -10w = -7 Divide each side by '-10'. w = 0.7 Simplifying w = 0.7
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