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Simplifying 7w + 10 = 4w + 5 Reorder the terms: 10 + 7w = 4w + 5 Reorder the terms: 10 + 7w = 5 + 4w Solving 10 + 7w = 5 + 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 = 5 + 4w + -4w Combine like terms: 7w + -4w = 3w 10 + 3w = 5 + 4w + -4w Combine like terms: 4w + -4w = 0 10 + 3w = 5 + 0 10 + 3w = 5 Add '-10' to each side of the equation. 10 + -10 + 3w = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 3w = 5 + -10 3w = 5 + -10 Combine like terms: 5 + -10 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667
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