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Simplifying 3w + 7w + -28 = -2w + 10 + 6w Reorder the terms: -28 + 3w + 7w = -2w + 10 + 6w Combine like terms: 3w + 7w = 10w -28 + 10w = -2w + 10 + 6w Reorder the terms: -28 + 10w = 10 + -2w + 6w Combine like terms: -2w + 6w = 4w -28 + 10w = 10 + 4w Solving -28 + 10w = 10 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -28 + 10w + -4w = 10 + 4w + -4w Combine like terms: 10w + -4w = 6w -28 + 6w = 10 + 4w + -4w Combine like terms: 4w + -4w = 0 -28 + 6w = 10 + 0 -28 + 6w = 10 Add '28' to each side of the equation. -28 + 28 + 6w = 10 + 28 Combine like terms: -28 + 28 = 0 0 + 6w = 10 + 28 6w = 10 + 28 Combine like terms: 10 + 28 = 38 6w = 38 Divide each side by '6'. w = 6.333333333 Simplifying w = 6.333333333
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