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Simplifying 3w + -78 = 2w + -28 Reorder the terms: -78 + 3w = 2w + -28 Reorder the terms: -78 + 3w = -28 + 2w Solving -78 + 3w = -28 + 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. -78 + 3w + -2w = -28 + 2w + -2w Combine like terms: 3w + -2w = 1w -78 + 1w = -28 + 2w + -2w Combine like terms: 2w + -2w = 0 -78 + 1w = -28 + 0 -78 + 1w = -28 Add '78' to each side of the equation. -78 + 78 + 1w = -28 + 78 Combine like terms: -78 + 78 = 0 0 + 1w = -28 + 78 1w = -28 + 78 Combine like terms: -28 + 78 = 50 1w = 50 Divide each side by '1'. w = 50 Simplifying w = 50
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