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Simplifying 74 + w = 3w + -6 Reorder the terms: 74 + w = -6 + 3w Solving 74 + w = -6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 74 + w + -3w = -6 + 3w + -3w Combine like terms: w + -3w = -2w 74 + -2w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 74 + -2w = -6 + 0 74 + -2w = -6 Add '-74' to each side of the equation. 74 + -74 + -2w = -6 + -74 Combine like terms: 74 + -74 = 0 0 + -2w = -6 + -74 -2w = -6 + -74 Combine like terms: -6 + -74 = -80 -2w = -80 Divide each side by '-2'. w = 40 Simplifying w = 40
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