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Simplifying 4w + 8 = 7w Reorder the terms: 8 + 4w = 7w Solving 8 + 4w = 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. 8 + 4w + -7w = 7w + -7w Combine like terms: 4w + -7w = -3w 8 + -3w = 7w + -7w Combine like terms: 7w + -7w = 0 8 + -3w = 0 Add '-8' to each side of the equation. 8 + -8 + -3w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = 0 + -8 -3w = 0 + -8 Combine like terms: 0 + -8 = -8 -3w = -8 Divide each side by '-3'. w = 2.666666667 Simplifying w = 2.666666667
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