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Simplifying 7w + 10 = 10 + 4w + -7 Reorder the terms: 10 + 7w = 10 + 4w + -7 Reorder the terms: 10 + 7w = 10 + -7 + 4w Combine like terms: 10 + -7 = 3 10 + 7w = 3 + 4w Solving 10 + 7w = 3 + 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. 10 + 7w + -4w = 3 + 4w + -4w Combine like terms: 7w + -4w = 3w 10 + 3w = 3 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + 3w = 3 + 0 10 + 3w = 3 Add '-10' to each side of the equation. 10 + -10 + 3w = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 3 + -10 3w = 3 + -10 Combine like terms: 3 + -10 = -7 3w = -7 Divide each side by '3'. w = -2.333333333 Simplifying w = -2.333333333
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