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Simplifying 3w + 44 = 6w + 5 Reorder the terms: 44 + 3w = 6w + 5 Reorder the terms: 44 + 3w = 5 + 6w Solving 44 + 3w = 5 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 44 + 3w + -6w = 5 + 6w + -6w Combine like terms: 3w + -6w = -3w 44 + -3w = 5 + 6w + -6w Combine like terms: 6w + -6w = 0 44 + -3w = 5 + 0 44 + -3w = 5 Add '-44' to each side of the equation. 44 + -44 + -3w = 5 + -44 Combine like terms: 44 + -44 = 0 0 + -3w = 5 + -44 -3w = 5 + -44 Combine like terms: 5 + -44 = -39 -3w = -39 Divide each side by '-3'. w = 13 Simplifying w = 13
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