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Simplifying 5w + 44 = 8w + 7 Reorder the terms: 44 + 5w = 8w + 7 Reorder the terms: 44 + 5w = 7 + 8w Solving 44 + 5w = 7 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 44 + 5w + -8w = 7 + 8w + -8w Combine like terms: 5w + -8w = -3w 44 + -3w = 7 + 8w + -8w Combine like terms: 8w + -8w = 0 44 + -3w = 7 + 0 44 + -3w = 7 Add '-44' to each side of the equation. 44 + -44 + -3w = 7 + -44 Combine like terms: 44 + -44 = 0 0 + -3w = 7 + -44 -3w = 7 + -44 Combine like terms: 7 + -44 = -37 -3w = -37 Divide each side by '-3'. w = 12.33333333 Simplifying w = 12.33333333
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