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Simplifying 4w + -74 = 2w + -18 Reorder the terms: -74 + 4w = 2w + -18 Reorder the terms: -74 + 4w = -18 + 2w Solving -74 + 4w = -18 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -74 + 4w + -2w = -18 + 2w + -2w Combine like terms: 4w + -2w = 2w -74 + 2w = -18 + 2w + -2w Combine like terms: 2w + -2w = 0 -74 + 2w = -18 + 0 -74 + 2w = -18 Add '74' to each side of the equation. -74 + 74 + 2w = -18 + 74 Combine like terms: -74 + 74 = 0 0 + 2w = -18 + 74 2w = -18 + 74 Combine like terms: -18 + 74 = 56 2w = 56 Divide each side by '2'. w = 28 Simplifying w = 28
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